3r^2=27r

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Solution for 3r^2=27r equation:


Simplifying
3r2 = 27r

Solving
3r2 = 27r

Solving for variable 'r'.

Reorder the terms:
-27r + 3r2 = 27r + -27r

Combine like terms: 27r + -27r = 0
-27r + 3r2 = 0

Factor out the Greatest Common Factor (GCF), '3r'.
3r(-9 + 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 '(-9 + r)' equal to zero and attempt to solve: Simplifying -9 + r = 0 Solving -9 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + r = 0 + 9 r = 0 + 9 Combine like terms: 0 + 9 = 9 r = 9 Simplifying r = 9

Solution

r = {0, 9}

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