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Simplifying 160r3 + 720r2 + 810r = 0 Reorder the terms: 810r + 720r2 + 160r3 = 0 Solving 810r + 720r2 + 160r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '10r'. 10r(81 + 72r + 16r2) = 0 Factor a trinomial. 10r((9 + 4r)(9 + 4r)) = 0 Ignore the factor 10.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 '(9 + 4r)' equal to zero and attempt to solve: Simplifying 9 + 4r = 0 Solving 9 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4r = 0 + -9 4r = 0 + -9 Combine like terms: 0 + -9 = -9 4r = -9 Divide each side by '4'. r = -2.25 Simplifying r = -2.25Subproblem 3
Set the factor '(9 + 4r)' equal to zero and attempt to solve: Simplifying 9 + 4r = 0 Solving 9 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4r = 0 + -9 4r = 0 + -9 Combine like terms: 0 + -9 = -9 4r = -9 Divide each side by '4'. r = -2.25 Simplifying r = -2.25Solution
r = {0, -2.25, -2.25}
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