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Simplifying 4r3 + 60r2 + 144r = 0 Reorder the terms: 144r + 60r2 + 4r3 = 0 Solving 144r + 60r2 + 4r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4r'. 4r(36 + 15r + r2) = 0 Factor a trinomial. 4r((12 + r)(3 + r)) = 0 Ignore the factor 4.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 '(12 + r)' equal to zero and attempt to solve: Simplifying 12 + r = 0 Solving 12 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + r = 0 + -12 r = 0 + -12 Combine like terms: 0 + -12 = -12 r = -12 Simplifying r = -12Subproblem 3
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 = {0, -12, -3}
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