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Simplifying -9(3r2 + -8r) = 0 Reorder the terms: -9(-8r + 3r2) = 0 (-8r * -9 + 3r2 * -9) = 0 (72r + -27r2) = 0 Solving 72r + -27r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '9r'. 9r(8 + -3r) = 0 Ignore the factor 9.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 '(8 + -3r)' equal to zero and attempt to solve: Simplifying 8 + -3r = 0 Solving 8 + -3r = 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 + -3r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3r = 0 + -8 -3r = 0 + -8 Combine like terms: 0 + -8 = -8 -3r = -8 Divide each side by '-3'. r = 2.666666667 Simplifying r = 2.666666667Solution
r = {0, 2.666666667}
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