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Simplifying 2r2 = 14r Solving 2r2 = 14r Solving for variable 'r'. Reorder the terms: -14r + 2r2 = 14r + -14r Combine like terms: 14r + -14r = 0 -14r + 2r2 = 0 Factor out the Greatest Common Factor (GCF), '2r'. 2r(-7 + r) = 0 Ignore the factor 2.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 '(-7 + r)' equal to zero and attempt to solve: Simplifying -7 + r = 0 Solving -7 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + r = 0 + 7 r = 0 + 7 Combine like terms: 0 + 7 = 7 r = 7 Simplifying r = 7Solution
r = {0, 7}
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