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Simplifying 7r2 + -21r = 0 Reorder the terms: -21r + 7r2 = 0 Solving -21r + 7r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7r'. 7r(-3 + r) = 0 Ignore the factor 7.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 '(-3 + r)' equal to zero and attempt to solve: Simplifying -3 + r = 0 Solving -3 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + r = 0 + 3 r = 0 + 3 Combine like terms: 0 + 3 = 3 r = 3 Simplifying r = 3Solution
r = {0, 3}
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