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Simplifying 0 = x2 + 16x + 60 Reorder the terms: 0 = 60 + 16x + x2 Solving 0 = 60 + 16x + x2 Solving for variable 'x'. Combine like terms: 0 + -60 = -60 -60 + -16x + -1x2 = 60 + 16x + x2 + -60 + -16x + -1x2 Reorder the terms: -60 + -16x + -1x2 = 60 + -60 + 16x + -16x + x2 + -1x2 Combine like terms: 60 + -60 = 0 -60 + -16x + -1x2 = 0 + 16x + -16x + x2 + -1x2 -60 + -16x + -1x2 = 16x + -16x + x2 + -1x2 Combine like terms: 16x + -16x = 0 -60 + -16x + -1x2 = 0 + x2 + -1x2 -60 + -16x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -60 + -16x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(60 + 16x + x2) = 0 Factor a trinomial. -1((10 + x)(6 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 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 = {-10, -6}
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