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Simplifying (x + 4)(x + -3) + -144 = 0 Reorder the terms: (4 + x)(x + -3) + -144 = 0 Reorder the terms: (4 + x)(-3 + x) + -144 = 0 Multiply (4 + x) * (-3 + x) (4(-3 + x) + x(-3 + x)) + -144 = 0 ((-3 * 4 + x * 4) + x(-3 + x)) + -144 = 0 ((-12 + 4x) + x(-3 + x)) + -144 = 0 (-12 + 4x + (-3 * x + x * x)) + -144 = 0 (-12 + 4x + (-3x + x2)) + -144 = 0 Combine like terms: 4x + -3x = 1x (-12 + 1x + x2) + -144 = 0 Reorder the terms: -12 + -144 + 1x + x2 = 0 Combine like terms: -12 + -144 = -156 -156 + 1x + x2 = 0 Solving -156 + 1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-13 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 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 = {-13, 12}
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