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Simplifying 63r2 + 42r + 7 = 0 Reorder the terms: 7 + 42r + 63r2 = 0 Solving 7 + 42r + 63r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7'. 7(1 + 6r + 9r2) = 0 Factor a trinomial. 7((1 + 3r)(1 + 3r)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + 3r)' equal to zero and attempt to solve: Simplifying 1 + 3r = 0 Solving 1 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3r = 0 + -1 3r = 0 + -1 Combine like terms: 0 + -1 = -1 3r = -1 Divide each side by '3'. r = -0.3333333333 Simplifying r = -0.3333333333Subproblem 2
Set the factor '(1 + 3r)' equal to zero and attempt to solve: Simplifying 1 + 3r = 0 Solving 1 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3r = 0 + -1 3r = 0 + -1 Combine like terms: 0 + -1 = -1 3r = -1 Divide each side by '3'. r = -0.3333333333 Simplifying r = -0.3333333333Solution
r = {-0.3333333333, -0.3333333333}
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