Given that the solution of equation x = 10-4x is the same as that of equation 5x + M = 2, find M

Given that the solution of equation x = 10-4x is the same as that of equation 5x + M = 2, find M

x=10-4x
5x=10
X=2
5x+m=2
5*2+m=2
10+m=2
m=-8
x=10-4x 5x=10 10+m=2 m=-8
X=10-4X => 5X=10
5X+M=2 =>5X=2-M => 10=2-M =>M=-8
-Question: the solution of the equation
Factorization of 4A ^ 2B ^ 2 - (a ^ 2 + B ^ 2) ^ 2
4a²b²-（a²+b²）²
=【2ab+（a²+b²）】【2ab-（a²+b²）】
=【a+b】²【（-1）（a²+b²-2ab）】
=-【a+b】²【a-b】²；
Factorization (x ^ 3 + y ^ 3) - 9x ^ 2Y ^ 2 (x + y) ^ 2
The original formula = (x + y) (X & # 178; - XY + Y & # 178;) - 9x & # 178; Y & # 178; (x + y) &# 178;
=(x+y)(x²-xy+y²-9x³y²-9x²y³)
Miss a square, right? Is that so (x ^ 3 + y ^ 3) ^ 2-9x ^ 2Y ^ 2 (x + y) ^ 2
(x³+y³)²-9x²y²(x+y)²
=Square difference formula of [x & # 179; + Y & # 179; + 3xy (x + y)] [x & # 179; + Y & # 179; - 3xy (x + y)]
=(y) & (x)  (y)  (x)  (y)  (y)  (y)  (y)  (y)  (y)  (y)  (
Miss a square, right? Is that so (x ^ 3 + y ^ 3) ^ 2-9x ^ 2Y ^ 2 (x + y) ^ 2
(x³+y³)²-9x²y²(x+y)²
=Square difference formula of [x & # 179; + Y & # 179; + 3xy (x + y)] [x & # 179; + Y & # 179; - 3xy (x + y)]
=(x + y) & # 179; [(x + y) (X & # 178; - XY + Y & # 178;) - 3xy (x + y)] cubic sum formula
=(x + y) & # 8308; (X & # 178; - 4xy + Y & # 178;) extract the common factor and simplify it
Factorization: (2x & sup2; + 5x) & sup2; - 2x & sup2; - 5x-6x & sup2; - 3x & sup2; - 36Y & sup2; 7x & sup2; - y + xy-21
7X²－3Y＋XY－21
（2x²＋5x）²－2x²－5x－6
=(2x^2+5x)^2-(2x^2+5x)-6
=(2x^2+5x-3)(2x^2+5x+2)
=(2x-1)(x+3)(2x+1)(x+2)
X²－3X²－36Y²
What's the problem
7X²－3Y＋XY－21x
=(7x^2-21x)+(xy-3y)
=7x(x-3)+y(x-3)
=(x-3)(7x+y)
With X, that's it
Factorization: 4a2-3b (4a-3b)
4a2-3b（4a-3b），=4a2-12ab+9b2，=（2a）2-12ab+（3b）2=（2a-3b）2
The positional relationship between 2x + 5Y + 2 = 0 and 5x-2y-1
k1=-2/5
k2=5/2
k1·k2=-1
The two lines are perpendicular to each other
Solving equation x ^ - 5x + 4 = 0 by factorization
x^-5x+4=(x-4)(x-1)=0
The solution is x = 4, x = 1
Then we know that the system of equations is 3x + 5=____
Formula 3x-2y = 51
4X + 9y = 2
Formula 4x-8y / 3 = 20 / 3
Formula 2-3 is 35y / 3 = - 14 / 3
35y=-14
y= -14/35
Then y = - 14 / 35 is brought into Formula 1
3x+28/35=5
3x=147/35
x=147/105
Add both sides of the known two equations to get 7x + 7Y = 7,
So 7 (x + y) = 7,
Divide both sides by 7 to get x + y = 1
Can 2x: 5Y be written as 5x = 2Y? Why
2X:5Y=1
2X:5Y=2X/5Y
5X=2Y
2/5=X/Y
So it doesn't wait
There's another reason
The first is the formula
The second is the equation
How can it be interchanged
The two formulas are essentially different and cannot be interchanged
2X: 5Y = 1 can be written as 5x = 2Y
2X: 5Y can not be written as 5x = 2Y, the former is an equation, the latter is an equation.
The former 2x: 5Y = 2x / 5Y
If the latter is 5x = 2Y, then 5x / 2Y = 1
may not. Because 2x: 5Y is a ratio, it is totally different from the concept of 5x = 2Y.
Solving equation by factorization: 4x (2x + 1) = 3 (2x + 1)
transposition
4x(2x+1)-3(2x+1)=0
Extracting common factors
(2x+1)（4x-3）=0