(5x+2)(5x-2)=32

Solution for (5x+2)(5x-2)=32 equation:

Simplifying
(5x + 2)(5x + -2) = 32

Reorder the terms:
(2 + 5x)(5x + -2) = 32

Reorder the terms:
(2 + 5x)(-2 + 5x) = 32

Multiply (2 + 5x) * (-2 + 5x)
(2(-2 + 5x) + 5x * (-2 + 5x)) = 32
((-2 * 2 + 5x * 2) + 5x * (-2 + 5x)) = 32
((-4 + 10x) + 5x * (-2 + 5x)) = 32
(-4 + 10x + (-2 * 5x + 5x * 5x)) = 32
(-4 + 10x + (-10x + 25x2)) = 32

Combine like terms: 10x + -10x = 0
(-4 + 0 + 25x2) = 32
(-4 + 25x2) = 32

Solving
-4 + 25x2 = 32

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 25x2 = 32 + 4

Combine like terms: -4 + 4 = 0
0 + 25x2 = 32 + 4
25x2 = 32 + 4

Combine like terms: 32 + 4 = 36
25x2 = 36

Divide each side by '25'.
x2 = 1.44

Simplifying
x2 = 1.44

Take the square root of each side:
x = {-1.2, 1.2}