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Simplifying 63r2 + 210r + 175 = 0 Reorder the terms: 175 + 210r + 63r2 = 0 Solving 175 + 210r + 63r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7'. 7(25 + 30r + 9r2) = 0 Factor a trinomial. 7((5 + 3r)(5 + 3r)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(5 + 3r)' equal to zero and attempt to solve: Simplifying 5 + 3r = 0 Solving 5 + 3r = 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 + 3r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3r = 0 + -5 3r = 0 + -5 Combine like terms: 0 + -5 = -5 3r = -5 Divide each side by '3'. r = -1.666666667 Simplifying r = -1.666666667Subproblem 2
Set the factor '(5 + 3r)' equal to zero and attempt to solve: Simplifying 5 + 3r = 0 Solving 5 + 3r = 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 + 3r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3r = 0 + -5 3r = 0 + -5 Combine like terms: 0 + -5 = -5 3r = -5 Divide each side by '3'. r = -1.666666667 Simplifying r = -1.666666667Solution
r = {-1.666666667, -1.666666667}
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