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Simplifying -96d2 + 144d + -54 = 0 Reorder the terms: -54 + 144d + -96d2 = 0 Solving -54 + 144d + -96d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '6'. 6(-9 + 24d + -16d2) = 0 Factor a trinomial. 6((-3 + 4d)(3 + -4d)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + 4d)' equal to zero and attempt to solve: Simplifying -3 + 4d = 0 Solving -3 + 4d = 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 + 4d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4d = 0 + 3 4d = 0 + 3 Combine like terms: 0 + 3 = 3 4d = 3 Divide each side by '4'. d = 0.75 Simplifying d = 0.75Subproblem 2
Set the factor '(3 + -4d)' equal to zero and attempt to solve: Simplifying 3 + -4d = 0 Solving 3 + -4d = 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 + -4d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4d = 0 + -3 -4d = 0 + -3 Combine like terms: 0 + -3 = -3 -4d = -3 Divide each side by '-4'. d = 0.75 Simplifying d = 0.75Solution
d = {0.75, 0.75}
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