(5x+6)(5x-6)=-11

Solution for (5x+6)(5x-6)=-11 equation:

Simplifying
(5x + 6)(5x + -6) = -11

Reorder the terms:
(6 + 5x)(5x + -6) = -11

Reorder the terms:
(6 + 5x)(-6 + 5x) = -11

Multiply (6 + 5x) * (-6 + 5x)
(6(-6 + 5x) + 5x * (-6 + 5x)) = -11
((-6 * 6 + 5x * 6) + 5x * (-6 + 5x)) = -11
((-36 + 30x) + 5x * (-6 + 5x)) = -11
(-36 + 30x + (-6 * 5x + 5x * 5x)) = -11
(-36 + 30x + (-30x + 25x2)) = -11

Combine like terms: 30x + -30x = 0
(-36 + 0 + 25x2) = -11
(-36 + 25x2) = -11

Solving
-36 + 25x2 = -11

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 = -11 + 36

Combine like terms: -36 + 36 = 0
0 + 25x2 = -11 + 36
25x2 = -11 + 36

Combine like terms: -11 + 36 = 25
25x2 = 25

Divide each side by '25'.
x2 = 1

Simplifying
x2 = 1

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