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Simplifying 10d2 + -270d = 0 Reorder the terms: -270d + 10d2 = 0 Solving -270d + 10d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '10d'. 10d(-27 + d) = 0 Ignore the factor 10.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 '(-27 + d)' equal to zero and attempt to solve: Simplifying -27 + d = 0 Solving -27 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + d = 0 + 27 Combine like terms: -27 + 27 = 0 0 + d = 0 + 27 d = 0 + 27 Combine like terms: 0 + 27 = 27 d = 27 Simplifying d = 27Solution
d = {0, 27}
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