2r^3-18r^2=0

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Solution for 2r^3-18r^2=0 equation:


Simplifying
2r3 + -18r2 = 0

Reorder the terms:
-18r2 + 2r3 = 0

Solving
-18r2 + 2r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2r2'.
2r2(-9 + r) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: 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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