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Simplifying 8x2 = -40 + -48x Solving 8x2 = -40 + -48x Solving for variable 'x'. Reorder the terms: 40 + 48x + 8x2 = -40 + -48x + 40 + 48x Reorder the terms: 40 + 48x + 8x2 = -40 + 40 + -48x + 48x Combine like terms: -40 + 40 = 0 40 + 48x + 8x2 = 0 + -48x + 48x 40 + 48x + 8x2 = -48x + 48x Combine like terms: -48x + 48x = 0 40 + 48x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(5 + 6x + x2) = 0 Factor a trinomial. 8((5 + x)(1 + x)) = 0 Ignore the factor 8.Subproblem 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-5, -1}
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