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Simplifying (x + -15)(x + -12) = 0 Reorder the terms: (-15 + x)(x + -12) = 0 Reorder the terms: (-15 + x)(-12 + x) = 0 Multiply (-15 + x) * (-12 + x) (-15(-12 + x) + x(-12 + x)) = 0 ((-12 * -15 + x * -15) + x(-12 + x)) = 0 ((180 + -15x) + x(-12 + x)) = 0 (180 + -15x + (-12 * x + x * x)) = 0 (180 + -15x + (-12x + x2)) = 0 Combine like terms: -15x + -12x = -27x (180 + -27x + x2) = 0 Solving 180 + -27x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + -1x)(15 + -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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {12, 15}
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