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Simplifying 36d2 + 42d + 10 = 0 Reorder the terms: 10 + 42d + 36d2 = 0 Solving 10 + 42d + 36d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 21d + 18d2) = 0 Factor a trinomial. 2((5 + 6d)(1 + 3d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 6d)' equal to zero and attempt to solve: Simplifying 5 + 6d = 0 Solving 5 + 6d = 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 + 6d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6d = 0 + -5 6d = 0 + -5 Combine like terms: 0 + -5 = -5 6d = -5 Divide each side by '6'. d = -0.8333333333 Simplifying d = -0.8333333333Subproblem 2
Set the factor '(1 + 3d)' equal to zero and attempt to solve: Simplifying 1 + 3d = 0 Solving 1 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3d = 0 + -1 3d = 0 + -1 Combine like terms: 0 + -1 = -1 3d = -1 Divide each side by '3'. d = -0.3333333333 Simplifying d = -0.3333333333Solution
d = {-0.8333333333, -0.3333333333}
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