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Simplifying 5d2 + -3d + d = 0 Reorder the terms: -3d + d + 5d2 = 0 Combine like terms: -3d + d = -2d -2d + 5d2 = 0 Solving -2d + 5d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-2 + 5d) = 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 '(-2 + 5d)' equal to zero and attempt to solve: Simplifying -2 + 5d = 0 Solving -2 + 5d = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5d = 0 + 2 5d = 0 + 2 Combine like terms: 0 + 2 = 2 5d = 2 Divide each side by '5'. d = 0.4 Simplifying d = 0.4Solution
d = {0, 0.4}
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