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Simplifying
(x + 8)(8 + -1x) = 0
Reorder the terms:
(8 + x)(8 + -1x) = 0
Multiply (8 + x) * (8 + -1x)
(8(8 + -1x) + x(8 + -1x)) = 0
((8 * 8 + -1x * 8) + x(8 + -1x)) = 0
((64 + -8x) + x(8 + -1x)) = 0
(64 + -8x + (8 * x + -1x * x)) = 0
(64 + -8x + (8x + -1x2)) = 0
Combine like terms: -8x + 8x = 0
(64 + 0 + -1x2) = 0
(64 + -1x2) = 0
Solving
64 + -1x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-64' to each side of the equation.
64 + -64 + -1x2 = 0 + -64
Combine like terms: 64 + -64 = 0
0 + -1x2 = 0 + -64
-1x2 = 0 + -64
Combine like terms: 0 + -64 = -64
-1x2 = -64
Divide each side by '-1'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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