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Simplifying d2 + 5d + -40 = -40 Reorder the terms: -40 + 5d + d2 = -40 Add '40' to each side of the equation. -40 + 5d + 40 + d2 = -40 + 40 Reorder the terms: -40 + 40 + 5d + d2 = -40 + 40 Combine like terms: -40 + 40 = 0 0 + 5d + d2 = -40 + 40 5d + d2 = -40 + 40 Combine like terms: -40 + 40 = 0 5d + d2 = 0 Solving 5d + d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(5 + d) = 0Subproblem 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 '(5 + d)' equal to zero and attempt to solve: Simplifying 5 + d = 0 Solving 5 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + d = 0 + -5 d = 0 + -5 Combine like terms: 0 + -5 = -5 d = -5 Simplifying d = -5Solution
d = {0, -5}
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