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Simplifying -3d(2d + 1) = 0 Reorder the terms: -3d(1 + 2d) = 0 (1 * -3d + 2d * -3d) = 0 (-3d + -6d2) = 0 Solving -3d + -6d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '-3d'. -3d(1 + 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 '(1 + 2d)' equal to zero and attempt to solve: Simplifying 1 + 2d = 0 Solving 1 + 2d = 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 + 2d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2d = 0 + -1 2d = 0 + -1 Combine like terms: 0 + -1 = -1 2d = -1 Divide each side by '2'. d = -0.5 Simplifying d = -0.5Solution
d = {0, -0.5}
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