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Simplifying 3d2 + 30d + 75 = 0 Reorder the terms: 75 + 30d + 3d2 = 0 Solving 75 + 30d + 3d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3'. 3(25 + 10d + d2) = 0 Factor a trinomial. 3((5 + d)(5 + d)) = 0 Ignore the factor 3.Subproblem 1
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 = -5Subproblem 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 = {-5, -5}
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