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Simplifying (x + -9)(x + -12) = 0 Reorder the terms: (-9 + x)(x + -12) = 0 Reorder the terms: (-9 + x)(-12 + x) = 0 Multiply (-9 + x) * (-12 + x) (-9(-12 + x) + x(-12 + x)) = 0 ((-12 * -9 + x * -9) + x(-12 + x)) = 0 ((108 + -9x) + x(-12 + x)) = 0 (108 + -9x + (-12 * x + x * x)) = 0 (108 + -9x + (-12x + x2)) = 0 Combine like terms: -9x + -12x = -21x (108 + -21x + x2) = 0 Solving 108 + -21x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {9, 12}
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