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Simplifying -16r3 + 10r = 0 Reorder the terms: 10r + -16r3 = 0 Solving 10r + -16r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(5 + -8r2) = 0 Ignore the factor 2.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 '(5 + -8r2)' equal to zero and attempt to solve: Simplifying 5 + -8r2 = 0 Solving 5 + -8r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8r2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8r2 = 0 + -5 -8r2 = 0 + -5 Combine like terms: 0 + -5 = -5 -8r2 = -5 Divide each side by '-8'. r2 = 0.625 Simplifying r2 = 0.625 Take the square root of each side: r = {-0.790569415, 0.790569415}Solution
r = {0, -0.790569415, 0.790569415}
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