5x(5x)-8=17

Solution for 5x(5x)-8=17 equation:

Simplifying
5x(5x) + -8 = 17

Remove parenthesis around (5x)
5x * 5x + -8 = 17

Reorder the terms for easier multiplication:
5 * 5x * x + -8 = 17

Multiply 5 * 5
25x * x + -8 = 17

Multiply x * x
25x2 + -8 = 17

Reorder the terms:
-8 + 25x2 = 17

Solving
-8 + 25x2 = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + 25x2 = 17 + 8

Combine like terms: -8 + 8 = 0
0 + 25x2 = 17 + 8
25x2 = 17 + 8

Combine like terms: 17 + 8 = 25
25x2 = 25

Divide each side by '25'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}