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Simplifying 8d2 + 92d + -48 = 0 Reorder the terms: -48 + 92d + 8d2 = 0 Solving -48 + 92d + 8d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + 23d + 2d2) = 0 Factor a trinomial. 4((-12 + -1d)(1 + -2d)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-12 + -1d)' equal to zero and attempt to solve: Simplifying -12 + -1d = 0 Solving -12 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1d = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1d = 0 + 12 -1d = 0 + 12 Combine like terms: 0 + 12 = 12 -1d = 12 Divide each side by '-1'. d = -12 Simplifying d = -12Subproblem 2
Set the factor '(1 + -2d)' equal to zero and attempt to solve: Simplifying 1 + -2d = 0 Solving 1 + -2d = 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 + -2d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2d = 0 + -1 -2d = 0 + -1 Combine like terms: 0 + -1 = -1 -2d = -1 Divide each side by '-2'. d = 0.5 Simplifying d = 0.5Solution
d = {-12, 0.5}
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