3d(d-8)=3d

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Solution for 3d(d-8)=3d equation:


Simplifying
3d(d + -8) = 3d

Reorder the terms:
3d(-8 + d) = 3d
(-8 * 3d + d * 3d) = 3d
(-24d + 3d2) = 3d

Solving
-24d + 3d2 = 3d

Solving for variable 'd'.

Reorder the terms:
-24d + -3d + 3d2 = 3d + -3d

Combine like terms: -24d + -3d = -27d
-27d + 3d2 = 3d + -3d

Combine like terms: 3d + -3d = 0
-27d + 3d2 = 0

Factor out the Greatest Common Factor (GCF), '3d'.
3d(-9 + d) = 0

Ignore the factor 3.

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 = 0

Subproblem 2

Set the factor '(-9 + d)' equal to zero and attempt to solve: Simplifying -9 + d = 0 Solving -9 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + d = 0 + 9 d = 0 + 9 Combine like terms: 0 + 9 = 9 d = 9 Simplifying d = 9

Solution

d = {0, 9}

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