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Simplifying 5(2x + -3) = x(8 + -1x) Reorder the terms: 5(-3 + 2x) = x(8 + -1x) (-3 * 5 + 2x * 5) = x(8 + -1x) (-15 + 10x) = x(8 + -1x) -15 + 10x = (8 * x + -1x * x) -15 + 10x = (8x + -1x2) Solving -15 + 10x = 8x + -1x2 Solving for variable 'x'. Combine like terms: 10x + -8x = 2x -15 + 2x + x2 = 8x + -1x2 + -8x + x2 Reorder the terms: -15 + 2x + x2 = 8x + -8x + -1x2 + x2 Combine like terms: 8x + -8x = 0 -15 + 2x + x2 = 0 + -1x2 + x2 -15 + 2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -15 + 2x + x2 = 0 Factor a trinomial. (-5 + -1x)(3 + -1x) = 0Subproblem 1
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 = -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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