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Simplifying
(x + 8)(x + -8) = 36
Reorder the terms:
(8 + x)(x + -8) = 36
Reorder the terms:
(8 + x)(-8 + x) = 36
Multiply (8 + x) * (-8 + x)
(8(-8 + x) + x(-8 + x)) = 36
((-8 * 8 + x * 8) + x(-8 + x)) = 36
((-64 + 8x) + x(-8 + x)) = 36
(-64 + 8x + (-8 * x + x * x)) = 36
(-64 + 8x + (-8x + x2)) = 36
Combine like terms: 8x + -8x = 0
(-64 + 0 + x2) = 36
(-64 + x2) = 36
Solving
-64 + x2 = 36
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 = 36 + 64
Combine like terms: -64 + 64 = 0
0 + x2 = 36 + 64
x2 = 36 + 64
Combine like terms: 36 + 64 = 100
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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