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Simplifying r2 + 5r + 2 = 2 Reorder the terms: 2 + 5r + r2 = 2 Add '-2' to each side of the equation. 2 + 5r + -2 + r2 = 2 + -2 Reorder the terms: 2 + -2 + 5r + r2 = 2 + -2 Combine like terms: 2 + -2 = 0 0 + 5r + r2 = 2 + -2 5r + r2 = 2 + -2 Combine like terms: 2 + -2 = 0 5r + r2 = 0 Solving 5r + r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(5 + r) = 0Subproblem 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 '(5 + r)' equal to zero and attempt to solve: Simplifying 5 + r = 0 Solving 5 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r = 0 + -5 r = 0 + -5 Combine like terms: 0 + -5 = -5 r = -5 Simplifying r = -5Solution
r = {0, -5}
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