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Simplifying (4x + 9)(x + -12) = 0 Reorder the terms: (9 + 4x)(x + -12) = 0 Reorder the terms: (9 + 4x)(-12 + x) = 0 Multiply (9 + 4x) * (-12 + x) (9(-12 + x) + 4x * (-12 + x)) = 0 ((-12 * 9 + x * 9) + 4x * (-12 + x)) = 0 ((-108 + 9x) + 4x * (-12 + x)) = 0 (-108 + 9x + (-12 * 4x + x * 4x)) = 0 (-108 + 9x + (-48x + 4x2)) = 0 Combine like terms: 9x + -48x = -39x (-108 + -39x + 4x2) = 0 Solving -108 + -39x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -4x)(12 + -1x) = 0Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve: Simplifying -9 + -4x = 0 Solving -9 + -4x = 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 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25Subproblem 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 = {-2.25, 12}
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