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Simplifying 7r2 + 49r = 0 Reorder the terms: 49r + 7r2 = 0 Solving 49r + 7r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7r'. 7r(7 + 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 '(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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