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Simplifying 40x2 = -104x + -48 Reorder the terms: 40x2 = -48 + -104x Solving 40x2 = -48 + -104x Solving for variable 'x'. Reorder the terms: 48 + 104x + 40x2 = -48 + -104x + 48 + 104x Reorder the terms: 48 + 104x + 40x2 = -48 + 48 + -104x + 104x Combine like terms: -48 + 48 = 0 48 + 104x + 40x2 = 0 + -104x + 104x 48 + 104x + 40x2 = -104x + 104x Combine like terms: -104x + 104x = 0 48 + 104x + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(6 + 13x + 5x2) = 0 Factor a trinomial. 8((2 + x)(3 + 5x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-2, -0.6}
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