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Simplifying 12 + -5d(d + 4) = 12 Reorder the terms: 12 + -5d(4 + d) = 12 12 + (4 * -5d + d * -5d) = 12 12 + (-20d + -5d2) = 12 Add '-12' to each side of the equation. 12 + -20d + -12 + -5d2 = 12 + -12 Reorder the terms: 12 + -12 + -20d + -5d2 = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -20d + -5d2 = 12 + -12 -20d + -5d2 = 12 + -12 Combine like terms: 12 + -12 = 0 -20d + -5d2 = 0 Solving -20d + -5d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '-5d'. -5d(4 + d) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Simplifying d = -4Solution
d = {0, -4}
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