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Simplifying -48 = x2 + 14x Reorder the terms: -48 = 14x + x2 Solving -48 = 14x + x2 Solving for variable 'x'. Reorder the terms: -48 + -14x + -1x2 = 14x + -14x + x2 + -1x2 Combine like terms: 14x + -14x = 0 -48 + -14x + -1x2 = 0 + x2 + -1x2 -48 + -14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -48 + -14x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(48 + 14x + x2) = 0 Factor a trinomial. -1((8 + x)(6 + x)) = 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-8, -6}
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