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Simplifying 3r8 + 3r5 + -60r2 = 0 Reorder the terms: -60r2 + 3r5 + 3r8 = 0 Solving -60r2 + 3r5 + 3r8 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3r2'. 3r2(-20 + r3 + r6) = 0 Factor a trinomial. 3r2((-5 + -1r3)(4 + -1r3)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}Subproblem 2
Set the factor '(-5 + -1r3)' equal to zero and attempt to solve: Simplifying -5 + -1r3 = 0 Solving -5 + -1r3 = 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 + -1r3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1r3 = 0 + 5 -1r3 = 0 + 5 Combine like terms: 0 + 5 = 5 -1r3 = 5 Divide each side by '-1'. r3 = -5 Simplifying r3 = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + -1r3)' equal to zero and attempt to solve: Simplifying 4 + -1r3 = 0 Solving 4 + -1r3 = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r3 = 0 + -4 -1r3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1r3 = -4 Divide each side by '-1'. r3 = 4 Simplifying r3 = 4 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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