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Simplifying 0 = x2 + 16x + 55 Reorder the terms: 0 = 55 + 16x + x2 Solving 0 = 55 + 16x + x2 Solving for variable 'x'. Combine like terms: 0 + -55 = -55 -55 + -16x + -1x2 = 55 + 16x + x2 + -55 + -16x + -1x2 Reorder the terms: -55 + -16x + -1x2 = 55 + -55 + 16x + -16x + x2 + -1x2 Combine like terms: 55 + -55 = 0 -55 + -16x + -1x2 = 0 + 16x + -16x + x2 + -1x2 -55 + -16x + -1x2 = 16x + -16x + x2 + -1x2 Combine like terms: 16x + -16x = 0 -55 + -16x + -1x2 = 0 + x2 + -1x2 -55 + -16x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -55 + -16x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(55 + 16x + x2) = 0 Factor a trinomial. -1((11 + x)(5 + x)) = 0 Ignore the factor -1.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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-11, -5}
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