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Simplifying (3d)(3d)(d + -7) = 0 Remove parenthesis around (3d) 3d(3d)(d + -7) = 0 Remove parenthesis around (3d) 3d * 3d(d + -7) = 0 Reorder the terms: 3d * 3d(-7 + d) = 0 Reorder the terms for easier multiplication: 3 * 3d * d(-7 + d) = 0 Multiply 3 * 3 9d * d(-7 + d) = 0 Multiply d * d 9d2(-7 + d) = 0 (-7 * 9d2 + d * 9d2) = 0 (-63d2 + 9d3) = 0 Solving -63d2 + 9d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '9d2'. 9d2(-7 + d) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'd2' equal to zero and attempt to solve: Simplifying d2 = 0 Solving d2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2 = 0 Take the square root of each side: d = {0}Subproblem 2
Set the factor '(-7 + d)' equal to zero and attempt to solve: Simplifying -7 + d = 0 Solving -7 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + d = 0 + 7 d = 0 + 7 Combine like terms: 0 + 7 = 7 d = 7 Simplifying d = 7Solution
d = {0, 7}
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