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Simplifying 8(5 + -1x)(x + 3) = 0 Reorder the terms: 8(5 + -1x)(3 + x) = 0 Multiply (5 + -1x) * (3 + x) 8(5(3 + x) + -1x * (3 + x)) = 0 8((3 * 5 + x * 5) + -1x * (3 + x)) = 0 8((15 + 5x) + -1x * (3 + x)) = 0 8(15 + 5x + (3 * -1x + x * -1x)) = 0 8(15 + 5x + (-3x + -1x2)) = 0 Combine like terms: 5x + -3x = 2x 8(15 + 2x + -1x2) = 0 (15 * 8 + 2x * 8 + -1x2 * 8) = 0 (120 + 16x + -8x2) = 0 Solving 120 + 16x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(15 + 2x + -1x2) = 0 Factor a trinomial. 8((5 + -1x)(3 + x)) = 0 Ignore the factor 8.Subproblem 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 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {5, -3}
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