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Simplifying 10R3 + -160R = 0 Reorder the terms: -160R + 10R3 = 0 Solving -160R + 10R3 = 0 Solving for variable 'R'. Factor out the Greatest Common Factor (GCF), '10R'. 10R(-16 + R2) = 0 Factor a difference between two squares. 10R((4 + R)(-4 + R)) = 0 Ignore the factor 10.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 '(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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