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Simplifying 9r3 + -36r = 0 Reorder the terms: -36r + 9r3 = 0 Solving -36r + 9r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '9r'. 9r(-4 + r2) = 0 Factor a difference between two squares. 9r((2 + r)(-2 + r)) = 0 Ignore the factor 9.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 = 0Subproblem 2
Set the factor '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2Subproblem 3
Set the factor '(-2 + r)' equal to zero and attempt to solve: Simplifying -2 + r = 0 Solving -2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + r = 0 + 2 r = 0 + 2 Combine like terms: 0 + 2 = 2 r = 2 Simplifying r = 2Solution
r = {0, -2, 2}
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