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Simplifying (3d + 3)(2 + 5d + -2) = 0 Reorder the terms: (3 + 3d)(2 + 5d + -2) = 0 Reorder the terms: (3 + 3d)(2 + -2 + 5d) = 0 Combine like terms: 2 + -2 = 0 (3 + 3d)(0 + 5d) = 0 (3 + 3d)(5d) = 0 Remove parenthesis around (5d) (3 + 3d) * 5d = 0 Reorder the terms for easier multiplication: 5d(3 + 3d) = 0 (3 * 5d + 3d * 5d) = 0 (15d + 15d2) = 0 Solving 15d + 15d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '15d'. 15d(1 + d) = 0 Ignore the factor 15.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 + d)' equal to zero and attempt to solve: Simplifying 1 + d = 0 Solving 1 + d = 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 + d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + d = 0 + -1 d = 0 + -1 Combine like terms: 0 + -1 = -1 d = -1 Simplifying d = -1Solution
d = {0, -1}
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