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Simplifying 4d(2d + -9) = 0 Reorder the terms: 4d(-9 + 2d) = 0 (-9 * 4d + 2d * 4d) = 0 (-36d + 8d2) = 0 Solving -36d + 8d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '4d'. 4d(-9 + 2d) = 0 Ignore the factor 4.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 '(-9 + 2d)' equal to zero and attempt to solve: Simplifying -9 + 2d = 0 Solving -9 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2d = 0 + 9 2d = 0 + 9 Combine like terms: 0 + 9 = 9 2d = 9 Divide each side by '2'. d = 4.5 Simplifying d = 4.5Solution
d = {0, 4.5}
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