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Simplifying
(12 + -1x)(12 + x) = 0
Multiply (12 + -1x) * (12 + x)
(12(12 + x) + -1x * (12 + x)) = 0
((12 * 12 + x * 12) + -1x * (12 + x)) = 0
((144 + 12x) + -1x * (12 + x)) = 0
(144 + 12x + (12 * -1x + x * -1x)) = 0
(144 + 12x + (-12x + -1x2)) = 0
Combine like terms: 12x + -12x = 0
(144 + 0 + -1x2) = 0
(144 + -1x2) = 0
Solving
144 + -1x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-144' to each side of the equation.
144 + -144 + -1x2 = 0 + -144
Combine like terms: 144 + -144 = 0
0 + -1x2 = 0 + -144
-1x2 = 0 + -144
Combine like terms: 0 + -144 = -144
-1x2 = -144
Divide each side by '-1'.
x2 = 144
Simplifying
x2 = 144
Take the square root of each side:
x = {-12, 12}
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