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Simplifying 6d2 + -21d = 0 Reorder the terms: -21d + 6d2 = 0 Solving -21d + 6d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3d'. 3d(-7 + 2d) = 0 Ignore the factor 3.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 + 2d)' equal to zero and attempt to solve: Simplifying -7 + 2d = 0 Solving -7 + 2d = 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 + 2d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2d = 0 + 7 2d = 0 + 7 Combine like terms: 0 + 7 = 7 2d = 7 Divide each side by '2'. d = 3.5 Simplifying d = 3.5Solution
d = {0, 3.5}
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