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Simplifying 8d2 + -64d + 56 = 0 Reorder the terms: 56 + -64d + 8d2 = 0 Solving 56 + -64d + 8d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '8'. 8(7 + -8d + d2) = 0 Factor a trinomial. 8((1 + -1d)(7 + -1d)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + -1d)' equal to zero and attempt to solve: Simplifying 1 + -1d = 0 Solving 1 + -1d = 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 + -1d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = 0 + -1 -1d = 0 + -1 Combine like terms: 0 + -1 = -1 -1d = -1 Divide each side by '-1'. d = 1 Simplifying d = 1Subproblem 2
Set the factor '(7 + -1d)' equal to zero and attempt to solve: Simplifying 7 + -1d = 0 Solving 7 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1d = 0 + -7 -1d = 0 + -7 Combine like terms: 0 + -7 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7Solution
d = {1, 7}
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