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Simplifying 12d2 = -3d Solving 12d2 = -3d Solving for variable 'd'. Reorder the terms: 3d + 12d2 = -3d + 3d Combine like terms: -3d + 3d = 0 3d + 12d2 = 0 Factor out the Greatest Common Factor (GCF), '3d'. 3d(1 + 4d) = 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 '(1 + 4d)' equal to zero and attempt to solve: Simplifying 1 + 4d = 0 Solving 1 + 4d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4d = 0 + -1 4d = 0 + -1 Combine like terms: 0 + -1 = -1 4d = -1 Divide each side by '4'. d = -0.25 Simplifying d = -0.25Solution
d = {0, -0.25}
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