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Simplifying -45d7 + 48d6 + 45d5 = 0 Reorder the terms: 45d5 + 48d6 + -45d7 = 0 Solving 45d5 + 48d6 + -45d7 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3d5'. 3d5(15 + 16d + -15d2) = 0 Factor a trinomial. 3d5((5 + -3d)(3 + 5d)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'd5' equal to zero and attempt to solve: Simplifying d5 = 0 Solving d5 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -3d)' equal to zero and attempt to solve: Simplifying 5 + -3d = 0 Solving 5 + -3d = 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 + -3d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3d = 0 + -5 -3d = 0 + -5 Combine like terms: 0 + -5 = -5 -3d = -5 Divide each side by '-3'. d = 1.666666667 Simplifying d = 1.666666667Subproblem 3
Set the factor '(3 + 5d)' equal to zero and attempt to solve: Simplifying 3 + 5d = 0 Solving 3 + 5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5d = 0 + -3 5d = 0 + -3 Combine like terms: 0 + -3 = -3 5d = -3 Divide each side by '5'. d = -0.6 Simplifying d = -0.6Solution
d = {1.666666667, -0.6}
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