(8x-11)(8x+11)=0

Solution for (8x-11)(8x+11)=0 equation:

Simplifying
(8x + -11)(8x + 11) = 0

Reorder the terms:
(-11 + 8x)(8x + 11) = 0

Reorder the terms:
(-11 + 8x)(11 + 8x) = 0

Multiply (-11 + 8x) * (11 + 8x)
(-11(11 + 8x) + 8x * (11 + 8x)) = 0
((11 * -11 + 8x * -11) + 8x * (11 + 8x)) = 0
((-121 + -88x) + 8x * (11 + 8x)) = 0
(-121 + -88x + (11 * 8x + 8x * 8x)) = 0
(-121 + -88x + (88x + 64x2)) = 0

Combine like terms: -88x + 88x = 0
(-121 + 0 + 64x2) = 0
(-121 + 64x2) = 0

Solving
-121 + 64x2 = 0

Solving for variable 'x'.

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

Add '121' to each side of the equation.
-121 + 121 + 64x2 = 0 + 121

Combine like terms: -121 + 121 = 0
0 + 64x2 = 0 + 121
64x2 = 0 + 121

Combine like terms: 0 + 121 = 121
64x2 = 121

Divide each side by '64'.
x2 = 1.890625

Simplifying
x2 = 1.890625

Take the square root of each side:
x = {-1.375, 1.375}