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Simplifying 10r3 = 90r Solving 10r3 = 90r Solving for variable 'r'. Reorder the terms: -90r + 10r3 = 90r + -90r Combine like terms: 90r + -90r = 0 -90r + 10r3 = 0 Factor out the Greatest Common Factor (GCF), '10r'. 10r(-9 + r2) = 0 Factor a difference between two squares. 10r((3 + r)(-3 + 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 '(3 + r)' equal to zero and attempt to solve: Simplifying 3 + r = 0 Solving 3 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r = 0 + -3 r = 0 + -3 Combine like terms: 0 + -3 = -3 r = -3 Simplifying r = -3Subproblem 3
Set the factor '(-3 + r)' equal to zero and attempt to solve: Simplifying -3 + r = 0 Solving -3 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + r = 0 + 3 r = 0 + 3 Combine like terms: 0 + 3 = 3 r = 3 Simplifying r = 3Solution
r = {0, -3, 3}
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