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Simplifying 4r3 + -16r3 = 128r Combine like terms: 4r3 + -16r3 = -12r3 -12r3 = 128r Solving -12r3 = 128r Solving for variable 'r'. Reorder the terms: -128r + -12r3 = 128r + -128r Combine like terms: 128r + -128r = 0 -128r + -12r3 = 0 Factor out the Greatest Common Factor (GCF), '-4r'. -4r(32 + 3r2) = 0 Ignore the factor -4.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 '(32 + 3r2)' equal to zero and attempt to solve: Simplifying 32 + 3r2 = 0 Solving 32 + 3r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 3r2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 3r2 = 0 + -32 3r2 = 0 + -32 Combine like terms: 0 + -32 = -32 3r2 = -32 Divide each side by '3'. r2 = -10.66666667 Simplifying r2 = -10.66666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
r = {0}
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