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Simplifying 8r3 + -73r2 + 72r = 0 Reorder the terms: 72r + -73r2 + 8r3 = 0 Solving 72r + -73r2 + 8r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(72 + -73r + 8r2) = 0 Factor a trinomial. r((9 + -8r)(8 + -1r)) = 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 '(9 + -8r)' equal to zero and attempt to solve: Simplifying 9 + -8r = 0 Solving 9 + -8r = 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 + -8r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8r = 0 + -9 -8r = 0 + -9 Combine like terms: 0 + -9 = -9 -8r = -9 Divide each side by '-8'. r = 1.125 Simplifying r = 1.125Subproblem 3
Set the factor '(8 + -1r)' equal to zero and attempt to solve: Simplifying 8 + -1r = 0 Solving 8 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8Solution
r = {0, 1.125, 8}
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