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Simplifying 2x2 + 31x + 44 = 5x Reorder the terms: 44 + 31x + 2x2 = 5x Solving 44 + 31x + 2x2 = 5x Solving for variable 'x'. Reorder the terms: 44 + 31x + -5x + 2x2 = 5x + -5x Combine like terms: 31x + -5x = 26x 44 + 26x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 44 + 26x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(22 + 13x + x2) = 0 Factor a trinomial. 2((11 + x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 2
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 = -2Solution
x = {-11, -2}
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