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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}
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