3 questions and explain how to solve them 1:3X(X+1)=3X+3 2:4X²-4X+1=X²+6X+9 3:7X²-√6X-5=0

3 questions and explain how to solve them 1:3X(X+1)=3X+3 2:4X²-4X+1=X²+6X+9 3:7X²-√6X-5=0


1:3X(X+1)=3X+3
Divide both sides by 3 to get the following result:
x(x+1)=x+1
x(x+1)-(x+1)=0
The factorization is as follows
(x+1)(x-1)=0
X = - 1 or x = 1
2:4X²-4X+1=X²+6X+9
(2x-1)²=(x+3)²
(2x-1)²-(x+3)²=0
The factorization is as follows
(2x-1+x+3)(2x-1-x-3)=0
(3x+2)(x-4)=0
X = - 2 / 3 or x = 4
3:7X²-√6X-5=0
Formula method:
△=6+140=146
x=(√6±√146)/14