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Simplifying 7r3 + -175r = 0 Reorder the terms: -175r + 7r3 = 0 Solving -175r + 7r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7r'. 7r(-25 + r2) = 0 Factor a difference between two squares. 7r((5 + r)(-5 + r)) = 0 Ignore the factor 7.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 '(5 + r)' equal to zero and attempt to solve: Simplifying 5 + r = 0 Solving 5 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r = 0 + -5 r = 0 + -5 Combine like terms: 0 + -5 = -5 r = -5 Simplifying r = -5Subproblem 3
Set the factor '(-5 + r)' equal to zero and attempt to solve: Simplifying -5 + r = 0 Solving -5 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + r = 0 + 5 r = 0 + 5 Combine like terms: 0 + 5 = 5 r = 5 Simplifying r = 5Solution
r = {0, -5, 5}
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