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Simplifying 8d2 + -5d2 + -3d + -2d = 0 Reorder the terms: -3d + -2d + 8d2 + -5d2 = 0 Combine like terms: -3d + -2d = -5d -5d + 8d2 + -5d2 = 0 Combine like terms: 8d2 + -5d2 = 3d2 -5d + 3d2 = 0 Solving -5d + 3d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-5 + 3d) = 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 '(-5 + 3d)' equal to zero and attempt to solve: Simplifying -5 + 3d = 0 Solving -5 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3d = 0 + 5 3d = 0 + 5 Combine like terms: 0 + 5 = 5 3d = 5 Divide each side by '3'. d = 1.666666667 Simplifying d = 1.666666667Solution
d = {0, 1.666666667}
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