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Simplifying 0 = 14d + 8d2 Solving 0 = 14d + 8d2 Solving for variable 'd'. Remove the zero: -14d + -8d2 = 14d + 8d2 + -14d + -8d2 Reorder the terms: -14d + -8d2 = 14d + -14d + 8d2 + -8d2 Combine like terms: 14d + -14d = 0 -14d + -8d2 = 0 + 8d2 + -8d2 -14d + -8d2 = 8d2 + -8d2 Combine like terms: 8d2 + -8d2 = 0 -14d + -8d2 = 0 Factor out the Greatest Common Factor (GCF), '-2d'. -2d(7 + 4d) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(7 + 4d)' equal to zero and attempt to solve: Simplifying 7 + 4d = 0 Solving 7 + 4d = 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 + 4d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4d = 0 + -7 4d = 0 + -7 Combine like terms: 0 + -7 = -7 4d = -7 Divide each side by '4'. d = -1.75 Simplifying d = -1.75Solution
d = {0, -1.75}
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