3r^2-24r=0

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Solution for 3r^2-24r=0 equation:


Simplifying
3r2 + -24r = 0

Reorder the terms:
-24r + 3r2 = 0

Solving
-24r + 3r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3r'.
3r(-8 + r) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0

Subproblem 2

Set the factor '(-8 + r)' equal to zero and attempt to solve: Simplifying -8 + r = 0 Solving -8 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + r = 0 + 8 r = 0 + 8 Combine like terms: 0 + 8 = 8 r = 8 Simplifying r = 8

Solution

r = {0, 8}

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