(-5x)*(-5x)-2=0

Solution for (-5x)*(-5x)-2=0 equation:

Simplifying
(-5x)(-5x) + -2 = 0

Remove parenthesis around (-5x)
-5x(-5x) + -2 = 0

Remove parenthesis around (-5x)
-5x * -5x + -2 = 0

Reorder the terms for easier multiplication:
-5 * -5x * x + -2 = 0

Multiply -5 * -5
25x * x + -2 = 0

Multiply x * x
25x2 + -2 = 0

Reorder the terms:
-2 + 25x2 = 0

Solving
-2 + 25x2 = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 25x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 25x2 = 0 + 2
25x2 = 0 + 2

Combine like terms: 0 + 2 = 2
25x2 = 2

Divide each side by '25'.
x2 = 0.08

Simplifying
x2 = 0.08

Take the square root of each side:
x = {-0.282842712, 0.282842712}