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Simplifying 0 = -1d2 + 6d Reorder the terms: 0 = 6d + -1d2 Solving 0 = 6d + -1d2 Solving for variable 'd'. Remove the zero: -6d + d2 = 6d + -1d2 + -6d + d2 Reorder the terms: -6d + d2 = 6d + -6d + -1d2 + d2 Combine like terms: 6d + -6d = 0 -6d + d2 = 0 + -1d2 + d2 -6d + d2 = -1d2 + d2 Combine like terms: -1d2 + d2 = 0 -6d + d2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-6 + d) = 0Subproblem 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 '(-6 + d)' equal to zero and attempt to solve: Simplifying -6 + d = 0 Solving -6 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + d = 0 + 6 d = 0 + 6 Combine like terms: 0 + 6 = 6 d = 6 Simplifying d = 6Solution
d = {0, 6}
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