How to solve this equation 1 / 8 {4 [5 / 8 (x-1) + 3 / 8 (1-x)] - 7 (1-x)} = 100

How to solve this equation 1 / 8 {4 [5 / 8 (x-1) + 3 / 8 (1-x)] - 7 (1-x)} = 100

1/8{4[5/8（x-1）+3/8（1-x)]-7(1-x)}=100 {4[5/8（x-1）+3/8（1-x)]-7(1-x)}=800 {4{1/8(5X-5+3-3X}-7+7X}=800 1/2(2X-2)-7+7X)=800 X-1+7X-7=800 X-1=100 X=101

Finding the integer solution of the equation x ^ 2-y ^ 2 = 29

The factorization on the left gives (x + y) (X-Y) = 29,
Since 29 = 1 * 29 = (- 1) * - 29,
And X + y and X-Y are both odd numbers or even numbers,
So, x + y = 1, X-Y = 29, or x + y = 29, X-Y = 1, or x + y = - 1, X-Y = - 29, or x + y = - 29, X-Y = - 1,
The solution is x = 15, y = - 14 or x = 15, y = 14 or x = - 15, y = 14 or x = - 15, y = - 14
(four sets of integer solutions)