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Simplifying (x + 2)(x + -15) = 0 Reorder the terms: (2 + x)(x + -15) = 0 Reorder the terms: (2 + x)(-15 + x) = 0 Multiply (2 + x) * (-15 + x) (2(-15 + x) + x(-15 + x)) = 0 ((-15 * 2 + x * 2) + x(-15 + x)) = 0 ((-30 + 2x) + x(-15 + x)) = 0 (-30 + 2x + (-15 * x + x * x)) = 0 (-30 + 2x + (-15x + x2)) = 0 Combine like terms: 2x + -15x = -13x (-30 + -13x + x2) = 0 Solving -30 + -13x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 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 = {-2, 15}
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