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Simplifying x(x + -15) + 3(x + -15) = 0 Reorder the terms: x(-15 + x) + 3(x + -15) = 0 (-15 * x + x * x) + 3(x + -15) = 0 (-15x + x2) + 3(x + -15) = 0 Reorder the terms: -15x + x2 + 3(-15 + x) = 0 -15x + x2 + (-15 * 3 + x * 3) = 0 -15x + x2 + (-45 + 3x) = 0 Reorder the terms: -45 + -15x + 3x + x2 = 0 Combine like terms: -15x + 3x = -12x -45 + -12x + x2 = 0 Solving -45 + -12x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 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 = {-3, 15}
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