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Simplifying 7r3 + 64r2 + -60r = 0 Reorder the terms: -60r + 64r2 + 7r3 = 0 Solving -60r + 64r2 + 7r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-60 + 64r + 7r2) = 0 Factor a trinomial. r((-10 + -1r)(6 + -7r)) = 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 '(-10 + -1r)' equal to zero and attempt to solve: Simplifying -10 + -1r = 0 Solving -10 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1r = 0 + 10 -1r = 0 + 10 Combine like terms: 0 + 10 = 10 -1r = 10 Divide each side by '-1'. r = -10 Simplifying r = -10Subproblem 3
Set the factor '(6 + -7r)' equal to zero and attempt to solve: Simplifying 6 + -7r = 0 Solving 6 + -7r = 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 + -7r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7r = 0 + -6 -7r = 0 + -6 Combine like terms: 0 + -6 = -6 -7r = -6 Divide each side by '-7'. r = 0.8571428571 Simplifying r = 0.8571428571Solution
r = {0, -10, 0.8571428571}
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