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Simplifying (x + 15)(x + -9) = 0 Reorder the terms: (15 + x)(x + -9) = 0 Reorder the terms: (15 + x)(-9 + x) = 0 Multiply (15 + x) * (-9 + x) (15(-9 + x) + x(-9 + x)) = 0 ((-9 * 15 + x * 15) + x(-9 + x)) = 0 ((-135 + 15x) + x(-9 + x)) = 0 (-135 + 15x + (-9 * x + x * x)) = 0 (-135 + 15x + (-9x + x2)) = 0 Combine like terms: 15x + -9x = 6x (-135 + 6x + x2) = 0 Solving -135 + 6x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -1x)(9 + -1x) = 0Subproblem 1
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 = -15Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-15, 9}
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