7d(11d)(d-10)=0

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Solution for 7d(11d)(d-10)=0 equation:


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 = 10

Solution

d = {0, 10}

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