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Simplifying 30d2 + 37d + 10 = 0 Reorder the terms: 10 + 37d + 30d2 = 0 Solving 10 + 37d + 30d2 = 0 Solving for variable 'd'. Factor a trinomial. (5 + 6d)(2 + 5d) = 0Subproblem 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 '(2 + 5d)' equal to zero and attempt to solve: Simplifying 2 + 5d = 0 Solving 2 + 5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5d = 0 + -2 5d = 0 + -2 Combine like terms: 0 + -2 = -2 5d = -2 Divide each side by '5'. d = -0.4 Simplifying d = -0.4Solution
d = {-0.8333333333, -0.4}
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