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Simplifying 8x2 + 16x + -24 = 40 Reorder the terms: -24 + 16x + 8x2 = 40 Solving -24 + 16x + 8x2 = 40 Solving for variable 'x'. Reorder the terms: -24 + -40 + 16x + 8x2 = 40 + -40 Combine like terms: -24 + -40 = -64 -64 + 16x + 8x2 = 40 + -40 Combine like terms: 40 + -40 = 0 -64 + 16x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-8 + 2x + x2) = 0 Factor a trinomial. 8((-4 + -1x)(2 + -1x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-4, 2}
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