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Simplifying 0 = x2 + 14x + 40 Reorder the terms: 0 = 40 + 14x + x2 Solving 0 = 40 + 14x + x2 Solving for variable 'x'. Combine like terms: 0 + -40 = -40 -40 + -14x + -1x2 = 40 + 14x + x2 + -40 + -14x + -1x2 Reorder the terms: -40 + -14x + -1x2 = 40 + -40 + 14x + -14x + x2 + -1x2 Combine like terms: 40 + -40 = 0 -40 + -14x + -1x2 = 0 + 14x + -14x + x2 + -1x2 -40 + -14x + -1x2 = 14x + -14x + x2 + -1x2 Combine like terms: 14x + -14x = 0 -40 + -14x + -1x2 = 0 + x2 + -1x2 -40 + -14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -40 + -14x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(40 + 14x + x2) = 0 Factor a trinomial. -1((10 + x)(4 + 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 '(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 = -4Solution
x = {-10, -4}
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