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Simplifying
(x + -1)(x + 1) = 120
Reorder the terms:
(-1 + x)(x + 1) = 120
Reorder the terms:
(-1 + x)(1 + x) = 120
Multiply (-1 + x) * (1 + x)
(-1(1 + x) + x(1 + x)) = 120
((1 * -1 + x * -1) + x(1 + x)) = 120
((-1 + -1x) + x(1 + x)) = 120
(-1 + -1x + (1 * x + x * x)) = 120
(-1 + -1x + (1x + x2)) = 120
Combine like terms: -1x + 1x = 0
(-1 + 0 + x2) = 120
(-1 + x2) = 120
Solving
-1 + x2 = 120
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + x2 = 120 + 1
Combine like terms: -1 + 1 = 0
0 + x2 = 120 + 1
x2 = 120 + 1
Combine like terms: 120 + 1 = 121
x2 = 121
Simplifying
x2 = 121
Take the square root of each side:
x = {-11, 11}
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