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Simplifying
(x + 4)(x + -4) = 84
Reorder the terms:
(4 + x)(x + -4) = 84
Reorder the terms:
(4 + x)(-4 + x) = 84
Multiply (4 + x) * (-4 + x)
(4(-4 + x) + x(-4 + x)) = 84
((-4 * 4 + x * 4) + x(-4 + x)) = 84
((-16 + 4x) + x(-4 + x)) = 84
(-16 + 4x + (-4 * x + x * x)) = 84
(-16 + 4x + (-4x + x2)) = 84
Combine like terms: 4x + -4x = 0
(-16 + 0 + x2) = 84
(-16 + x2) = 84
Solving
-16 + x2 = 84
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + x2 = 84 + 16
Combine like terms: -16 + 16 = 0
0 + x2 = 84 + 16
x2 = 84 + 16
Combine like terms: 84 + 16 = 100
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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