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Simplifying 4(d + 3) * 7d = 0 Reorder the terms: 4(3 + d) * 7d = 0 Reorder the terms for easier multiplication: 4 * 7d(3 + d) = 0 Multiply 4 * 7 28d(3 + d) = 0 (3 * 28d + d * 28d) = 0 (84d + 28d2) = 0 Solving 84d + 28d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '28d'. 28d(3 + d) = 0 Ignore the factor 28.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 '(3 + d)' equal to zero and attempt to solve: Simplifying 3 + d = 0 Solving 3 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + d = 0 + -3 d = 0 + -3 Combine like terms: 0 + -3 = -3 d = -3 Simplifying d = -3Solution
d = {0, -3}
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