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Simplifying 4r4 + -64r2 = 0 Reorder the terms: -64r2 + 4r4 = 0 Solving -64r2 + 4r4 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4r2'. 4r2(-16 + r2) = 0 Factor a difference between two squares. 4r2((4 + r)(-4 + r)) = 0 Ignore the factor 4.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 '(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 = {0, -4, 4}
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