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Simplifying (x + 3)(x + -4) = 144 Reorder the terms: (3 + x)(x + -4) = 144 Reorder the terms: (3 + x)(-4 + x) = 144 Multiply (3 + x) * (-4 + x) (3(-4 + x) + x(-4 + x)) = 144 ((-4 * 3 + x * 3) + x(-4 + x)) = 144 ((-12 + 3x) + x(-4 + x)) = 144 (-12 + 3x + (-4 * x + x * x)) = 144 (-12 + 3x + (-4x + x2)) = 144 Combine like terms: 3x + -4x = -1x (-12 + -1x + x2) = 144 Solving -12 + -1x + x2 = 144 Solving for variable 'x'. Reorder the terms: -12 + -144 + -1x + x2 = 144 + -144 Combine like terms: -12 + -144 = -156 -156 + -1x + x2 = 144 + -144 Combine like terms: 144 + -144 = 0 -156 + -1x + x2 = 0 Factor a trinomial. (-12 + -1x)(13 + -1x) = 0Subproblem 1
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 = -12Subproblem 2
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 = 13Solution
x = {-12, 13}
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