216r^2-36r=0

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Solution for 216r^2-36r=0 equation:


Simplifying
216r2 + -36r = 0

Reorder the terms:
-36r + 216r2 = 0

Solving
-36r + 216r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '36r'.
36r(-1 + 6r) = 0

Ignore the factor 36.

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 '(-1 + 6r)' equal to zero and attempt to solve: Simplifying -1 + 6r = 0 Solving -1 + 6r = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6r = 0 + 1 6r = 0 + 1 Combine like terms: 0 + 1 = 1 6r = 1 Divide each side by '6'. r = 0.1666666667 Simplifying r = 0.1666666667

Solution

r = {0, 0.1666666667}

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