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Simplifying 21r5 + -14r4 = 0 Reorder the terms: -14r4 + 21r5 = 0 Solving -14r4 + 21r5 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7r4'. 7r4(-2 + 3r) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'r4' equal to zero and attempt to solve: Simplifying r4 = 0 Solving r4 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + 3r)' equal to zero and attempt to solve: Simplifying -2 + 3r = 0 Solving -2 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3r = 0 + 2 3r = 0 + 2 Combine like terms: 0 + 2 = 2 3r = 2 Divide each side by '3'. r = 0.6666666667 Simplifying r = 0.6666666667Solution
r = {0.6666666667}
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