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Simplifying x(x + -9) + -15(x + -9) = 0 Reorder the terms: x(-9 + x) + -15(x + -9) = 0 (-9 * x + x * x) + -15(x + -9) = 0 (-9x + x2) + -15(x + -9) = 0 Reorder the terms: -9x + x2 + -15(-9 + x) = 0 -9x + x2 + (-9 * -15 + x * -15) = 0 -9x + x2 + (135 + -15x) = 0 Reorder the terms: 135 + -9x + -15x + x2 = 0 Combine like terms: -9x + -15x = -24x 135 + -24x + x2 = 0 Solving 135 + -24x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x)(15 + -1x) = 0Subproblem 1
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 = 9Subproblem 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 = {9, 15}
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