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Simplifying x(x + -5) + 3(x + -5) = 0 Reorder the terms: x(-5 + x) + 3(x + -5) = 0 (-5 * x + x * x) + 3(x + -5) = 0 (-5x + x2) + 3(x + -5) = 0 Reorder the terms: -5x + x2 + 3(-5 + x) = 0 -5x + x2 + (-5 * 3 + x * 3) = 0 -5x + x2 + (-15 + 3x) = 0 Reorder the terms: -15 + -5x + 3x + x2 = 0 Combine like terms: -5x + 3x = -2x -15 + -2x + x2 = 0 Solving -15 + -2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-3, 5}
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