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Simplifying 3r3 + -192r = 0 Reorder the terms: -192r + 3r3 = 0 Solving -192r + 3r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3r'. 3r(-64 + r2) = 0 Factor a difference between two squares. 3r((8 + r)(-8 + r)) = 0 Ignore the factor 3.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 '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8Subproblem 3
Set the factor '(-8 + r)' equal to zero and attempt to solve: Simplifying -8 + r = 0 Solving -8 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + r = 0 + 8 r = 0 + 8 Combine like terms: 0 + 8 = 8 r = 8 Simplifying r = 8Solution
r = {0, -8, 8}
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