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Simplifying 4r(2r + 14) = 0 Reorder the terms: 4r(14 + 2r) = 0 (14 * 4r + 2r * 4r) = 0 (56r + 8r2) = 0 Solving 56r + 8r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '8r'. 8r(7 + r) = 0 Ignore the factor 8.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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