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Simplifying 15D2 + 42D + 24 = 0 Reorder the terms: 24 + 42D + 15D2 = 0 Solving 24 + 42D + 15D2 = 0 Solving for variable 'D'. Factor out the Greatest Common Factor (GCF), '3'. 3(8 + 14D + 5D2) = 0 Factor a trinomial. 3((2 + D)(4 + 5D)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + D)' equal to zero and attempt to solve: Simplifying 2 + D = 0 Solving 2 + D = 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 + D = 0 + -2 Combine like terms: 2 + -2 = 0 0 + D = 0 + -2 D = 0 + -2 Combine like terms: 0 + -2 = -2 D = -2 Simplifying D = -2Subproblem 2
Set the factor '(4 + 5D)' equal to zero and attempt to solve: Simplifying 4 + 5D = 0 Solving 4 + 5D = 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 + 5D = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5D = 0 + -4 5D = 0 + -4 Combine like terms: 0 + -4 = -4 5D = -4 Divide each side by '5'. D = -0.8 Simplifying D = -0.8Solution
D = {-2, -0.8}
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