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Simplifying 0 = x2 + 136x + 399 Reorder the terms: 0 = 399 + 136x + x2 Solving 0 = 399 + 136x + x2 Solving for variable 'x'. Combine like terms: 0 + -399 = -399 -399 + -136x + -1x2 = 399 + 136x + x2 + -399 + -136x + -1x2 Reorder the terms: -399 + -136x + -1x2 = 399 + -399 + 136x + -136x + x2 + -1x2 Combine like terms: 399 + -399 = 0 -399 + -136x + -1x2 = 0 + 136x + -136x + x2 + -1x2 -399 + -136x + -1x2 = 136x + -136x + x2 + -1x2 Combine like terms: 136x + -136x = 0 -399 + -136x + -1x2 = 0 + x2 + -1x2 -399 + -136x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -399 + -136x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(399 + 136x + x2) = 0 Factor a trinomial. -1((133 + x)(3 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(133 + x)' equal to zero and attempt to solve: Simplifying 133 + x = 0 Solving 133 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-133' to each side of the equation. 133 + -133 + x = 0 + -133 Combine like terms: 133 + -133 = 0 0 + x = 0 + -133 x = 0 + -133 Combine like terms: 0 + -133 = -133 x = -133 Simplifying x = -133Subproblem 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 = {-133, -3}
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