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Simplifying 3(x + -5) = x(x + -5) Reorder the terms: 3(-5 + x) = x(x + -5) (-5 * 3 + x * 3) = x(x + -5) (-15 + 3x) = x(x + -5) Reorder the terms: -15 + 3x = x(-5 + x) -15 + 3x = (-5 * x + x * x) -15 + 3x = (-5x + x2) Solving -15 + 3x = -5x + x2 Solving for variable 'x'. Combine like terms: 3x + 5x = 8x -15 + 8x + -1x2 = -5x + x2 + 5x + -1x2 Reorder the terms: -15 + 8x + -1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 -15 + 8x + -1x2 = 0 + x2 + -1x2 -15 + 8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 8x + -1x2 = 0 Factor a trinomial. (-5 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
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 = 3Solution
x = {5, 3}
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