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Simplifying -6d(d + -7) = 0 Reorder the terms: -6d(-7 + d) = 0 (-7 * -6d + d * -6d) = 0 (42d + -6d2) = 0 Solving 42d + -6d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '6d'. 6d(7 + -1d) = 0 Ignore the factor 6.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 + -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 = {0, 7}
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