(5x-6)(5x+6)=0

Solution for (5x-6)(5x+6)=0 equation:

Simplifying
(5x + -6)(5x + 6) = 0

Reorder the terms:
(-6 + 5x)(5x + 6) = 0

Reorder the terms:
(-6 + 5x)(6 + 5x) = 0

Multiply (-6 + 5x) * (6 + 5x)
(-6(6 + 5x) + 5x * (6 + 5x)) = 0
((6 * -6 + 5x * -6) + 5x * (6 + 5x)) = 0
((-36 + -30x) + 5x * (6 + 5x)) = 0
(-36 + -30x + (6 * 5x + 5x * 5x)) = 0
(-36 + -30x + (30x + 25x2)) = 0

Combine like terms: -30x + 30x = 0
(-36 + 0 + 25x2) = 0
(-36 + 25x2) = 0

Solving
-36 + 25x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 25x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 25x2 = 0 + 36
25x2 = 0 + 36

Combine like terms: 0 + 36 = 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}