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Simplifying 8d2 + (6d2 + -4d) = 0 Reorder the terms: 8d2 + (-4d + 6d2) = 0 Remove parenthesis around (-4d + 6d2) 8d2 + -4d + 6d2 = 0 Reorder the terms: -4d + 8d2 + 6d2 = 0 Combine like terms: 8d2 + 6d2 = 14d2 -4d + 14d2 = 0 Solving -4d + 14d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2d'. 2d(-2 + 7d) = 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 '(-2 + 7d)' equal to zero and attempt to solve: Simplifying -2 + 7d = 0 Solving -2 + 7d = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7d = 0 + 2 7d = 0 + 2 Combine like terms: 0 + 2 = 2 7d = 2 Divide each side by '7'. d = 0.2857142857 Simplifying d = 0.2857142857Solution
d = {0, 0.2857142857}
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