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Simplifying
(x + -8)(x + 8) = 80
Reorder the terms:
(-8 + x)(x + 8) = 80
Reorder the terms:
(-8 + x)(8 + x) = 80
Multiply (-8 + x) * (8 + x)
(-8(8 + x) + x(8 + x)) = 80
((8 * -8 + x * -8) + x(8 + x)) = 80
((-64 + -8x) + x(8 + x)) = 80
(-64 + -8x + (8 * x + x * x)) = 80
(-64 + -8x + (8x + x2)) = 80
Combine like terms: -8x + 8x = 0
(-64 + 0 + x2) = 80
(-64 + x2) = 80
Solving
-64 + x2 = 80
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 + x2 = 80 + 64
Combine like terms: -64 + 64 = 0
0 + x2 = 80 + 64
x2 = 80 + 64
Combine like terms: 80 + 64 = 144
x2 = 144
Simplifying
x2 = 144
Take the square root of each side:
x = {-12, 12}
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