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Simplifying 0 = -1d2 + 4d Reorder the terms: 0 = 4d + -1d2 Solving 0 = 4d + -1d2 Solving for variable 'd'. Remove the zero: -4d + d2 = 4d + -1d2 + -4d + d2 Reorder the terms: -4d + d2 = 4d + -4d + -1d2 + d2 Combine like terms: 4d + -4d = 0 -4d + d2 = 0 + -1d2 + d2 -4d + d2 = -1d2 + d2 Combine like terms: -1d2 + d2 = 0 -4d + d2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-4 + 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 '(-4 + d)' equal to zero and attempt to solve: Simplifying -4 + d = 0 Solving -4 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + d = 0 + 4 Combine like terms: -4 + 4 = 0 0 + d = 0 + 4 d = 0 + 4 Combine like terms: 0 + 4 = 4 d = 4 Simplifying d = 4Solution
d = {0, 4}
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