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Simplifying 0 = d2 + 12d + 20 Reorder the terms: 0 = 20 + 12d + d2 Solving 0 = 20 + 12d + d2 Solving for variable 'd'. Combine like terms: 0 + -20 = -20 -20 + -12d + -1d2 = 20 + 12d + d2 + -20 + -12d + -1d2 Reorder the terms: -20 + -12d + -1d2 = 20 + -20 + 12d + -12d + d2 + -1d2 Combine like terms: 20 + -20 = 0 -20 + -12d + -1d2 = 0 + 12d + -12d + d2 + -1d2 -20 + -12d + -1d2 = 12d + -12d + d2 + -1d2 Combine like terms: 12d + -12d = 0 -20 + -12d + -1d2 = 0 + d2 + -1d2 -20 + -12d + -1d2 = d2 + -1d2 Combine like terms: d2 + -1d2 = 0 -20 + -12d + -1d2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 12d + d2) = 0 Factor a trinomial. -1((10 + d)(2 + d)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + d)' equal to zero and attempt to solve: Simplifying 10 + d = 0 Solving 10 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + d = 0 + -10 d = 0 + -10 Combine like terms: 0 + -10 = -10 d = -10 Simplifying d = -10Subproblem 2
Set the factor '(2 + d)' equal to zero and attempt to solve: Simplifying 2 + d = 0 Solving 2 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + d = 0 + -2 d = 0 + -2 Combine like terms: 0 + -2 = -2 d = -2 Simplifying d = -2Solution
d = {-10, -2}
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