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Simplifying 4340 = 31(x)(x + 4) Reorder the terms: 4340 = 31x(4 + x) 4340 = (4 * 31x + x * 31x) 4340 = (124x + 31x2) Solving 4340 = 124x + 31x2 Solving for variable 'x'. Reorder the terms: 4340 + -124x + -31x2 = 124x + -124x + 31x2 + -31x2 Combine like terms: 124x + -124x = 0 4340 + -124x + -31x2 = 0 + 31x2 + -31x2 4340 + -124x + -31x2 = 31x2 + -31x2 Combine like terms: 31x2 + -31x2 = 0 4340 + -124x + -31x2 = 0 Factor out the Greatest Common Factor (GCF), '31'. 31(140 + -4x + -1x2) = 0 Factor a trinomial. 31((10 + -1x)(14 + x)) = 0 Ignore the factor 31.Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {10, -14}
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