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Simplifying 7d(11d)(d + -10) = 0 Remove parenthesis around (11d) 7d * 11d(d + -10) = 0 Reorder the terms: 7d * 11d(-10 + d) = 0 Reorder the terms for easier multiplication: 7 * 11d * d(-10 + d) = 0 Multiply 7 * 11 77d * d(-10 + d) = 0 Multiply d * d 77d2(-10 + d) = 0 (-10 * 77d2 + d * 77d2) = 0 (-770d2 + 77d3) = 0 Solving -770d2 + 77d3 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '77d2'. 77d2(-10 + d) = 0 Ignore the factor 77.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 '(-10 + d)' equal to zero and attempt to solve: Simplifying -10 + d = 0 Solving -10 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + d = 0 + 10 Combine like terms: -10 + 10 = 0 0 + d = 0 + 10 d = 0 + 10 Combine like terms: 0 + 10 = 10 d = 10 Simplifying d = 10Solution
d = {0, 10}
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