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Simplifying 3r8 = 48r6 Solving 3r8 = 48r6 Solving for variable 'r'. Reorder the terms: -48r6 + 3r8 = 48r6 + -48r6 Combine like terms: 48r6 + -48r6 = 0 -48r6 + 3r8 = 0 Factor out the Greatest Common Factor (GCF), '3r6'. 3r6(-16 + r2) = 0 Factor a difference between two squares. 3r6((4 + r)(-4 + r)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'r6' equal to zero and attempt to solve: Simplifying r6 = 0 Solving r6 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r6 = 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 '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 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 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4Subproblem 3
Set the factor '(-4 + r)' equal to zero and attempt to solve: Simplifying -4 + r = 0 Solving -4 + r = 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 + r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + r = 0 + 4 r = 0 + 4 Combine like terms: 0 + 4 = 4 r = 4 Simplifying r = 4Solution
r = {-4, 4}
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