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Simplifying 21d2 = -56d Solving 21d2 = -56d Solving for variable 'd'. Reorder the terms: 56d + 21d2 = -56d + 56d Combine like terms: -56d + 56d = 0 56d + 21d2 = 0 Factor out the Greatest Common Factor (GCF), '7d'. 7d(8 + 3d) = 0 Ignore the factor 7.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 '(8 + 3d)' equal to zero and attempt to solve: Simplifying 8 + 3d = 0 Solving 8 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3d = 0 + -8 3d = 0 + -8 Combine like terms: 0 + -8 = -8 3d = -8 Divide each side by '3'. d = -2.666666667 Simplifying d = -2.666666667Solution
d = {0, -2.666666667}
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