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Simplifying 3r2 + 30r + 63 = 0 Reorder the terms: 63 + 30r + 3r2 = 0 Solving 63 + 30r + 3r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3'. 3(21 + 10r + r2) = 0 Factor a trinomial. 3((7 + r)(3 + r)) = 0 Ignore the factor 3.Subproblem 1
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 = -7Subproblem 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 = {-7, -3}
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