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Simplifying 14x2 + 50x + 91 = -5 + 6x2 + -6x Reorder the terms: 91 + 50x + 14x2 = -5 + 6x2 + -6x Reorder the terms: 91 + 50x + 14x2 = -5 + -6x + 6x2 Solving 91 + 50x + 14x2 = -5 + -6x + 6x2 Solving for variable 'x'. Reorder the terms: 91 + 5 + 50x + 6x + 14x2 + -6x2 = -5 + -6x + 6x2 + 5 + 6x + -6x2 Combine like terms: 91 + 5 = 96 96 + 50x + 6x + 14x2 + -6x2 = -5 + -6x + 6x2 + 5 + 6x + -6x2 Combine like terms: 50x + 6x = 56x 96 + 56x + 14x2 + -6x2 = -5 + -6x + 6x2 + 5 + 6x + -6x2 Combine like terms: 14x2 + -6x2 = 8x2 96 + 56x + 8x2 = -5 + -6x + 6x2 + 5 + 6x + -6x2 Reorder the terms: 96 + 56x + 8x2 = -5 + 5 + -6x + 6x + 6x2 + -6x2 Combine like terms: -5 + 5 = 0 96 + 56x + 8x2 = 0 + -6x + 6x + 6x2 + -6x2 96 + 56x + 8x2 = -6x + 6x + 6x2 + -6x2 Combine like terms: -6x + 6x = 0 96 + 56x + 8x2 = 0 + 6x2 + -6x2 96 + 56x + 8x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 96 + 56x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(12 + 7x + x2) = 0 Factor a trinomial. 8((4 + x)(3 + x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-4, -3}
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