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Simplifying 42d2 + 49d = 0 Reorder the terms: 49d + 42d2 = 0 Solving 49d + 42d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '7d'. 7d(7 + 6d) = 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 '(7 + 6d)' equal to zero and attempt to solve: Simplifying 7 + 6d = 0 Solving 7 + 6d = 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 + 6d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6d = 0 + -7 6d = 0 + -7 Combine like terms: 0 + -7 = -7 6d = -7 Divide each side by '6'. d = -1.166666667 Simplifying d = -1.166666667Solution
d = {0, -1.166666667}
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