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Simplifying 9r3 + 50r2 + -24r = 0 Reorder the terms: -24r + 50r2 + 9r3 = 0 Solving -24r + 50r2 + 9r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-24 + 50r + 9r2) = 0 Factor a trinomial. r((-6 + -1r)(4 + -9r)) = 0Subproblem 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 '(-6 + -1r)' equal to zero and attempt to solve: Simplifying -6 + -1r = 0 Solving -6 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1r = 0 + 6 -1r = 0 + 6 Combine like terms: 0 + 6 = 6 -1r = 6 Divide each side by '-1'. r = -6 Simplifying r = -6Subproblem 3
Set the factor '(4 + -9r)' equal to zero and attempt to solve: Simplifying 4 + -9r = 0 Solving 4 + -9r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9r = 0 + -4 -9r = 0 + -4 Combine like terms: 0 + -4 = -4 -9r = -4 Divide each side by '-9'. r = 0.4444444444 Simplifying r = 0.4444444444Solution
r = {0, -6, 0.4444444444}
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