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Simplifying 0 = 2x2 + 23x + 56 Reorder the terms: 0 = 56 + 23x + 2x2 Solving 0 = 56 + 23x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -56 = -56 -56 + -23x + -2x2 = 56 + 23x + 2x2 + -56 + -23x + -2x2 Reorder the terms: -56 + -23x + -2x2 = 56 + -56 + 23x + -23x + 2x2 + -2x2 Combine like terms: 56 + -56 = 0 -56 + -23x + -2x2 = 0 + 23x + -23x + 2x2 + -2x2 -56 + -23x + -2x2 = 23x + -23x + 2x2 + -2x2 Combine like terms: 23x + -23x = 0 -56 + -23x + -2x2 = 0 + 2x2 + -2x2 -56 + -23x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -56 + -23x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(56 + 23x + 2x2) = 0 Factor a trinomial. -1((8 + x)(7 + 2x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {-8, -3.5}
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