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Simplifying -5d2 + -30d + 200 = 0 Reorder the terms: 200 + -30d + -5d2 = 0 Solving 200 + -30d + -5d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '5'. 5(40 + -6d + -1d2) = 0 Factor a trinomial. 5((4 + -1d)(10 + d)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + -1d)' equal to zero and attempt to solve: Simplifying 4 + -1d = 0 Solving 4 + -1d = 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 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4Subproblem 2
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 = -10Solution
d = {4, -10}
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