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Simplifying 3r2 + -132r + -735 = 0 Reorder the terms: -735 + -132r + 3r2 = 0 Solving -735 + -132r + 3r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3'. 3(-245 + -44r + r2) = 0 Factor a trinomial. 3((-5 + -1r)(49 + -1r)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -1r)' equal to zero and attempt to solve: Simplifying -5 + -1r = 0 Solving -5 + -1r = 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 + -1r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1r = 0 + 5 -1r = 0 + 5 Combine like terms: 0 + 5 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5Subproblem 2
Set the factor '(49 + -1r)' equal to zero and attempt to solve: Simplifying 49 + -1r = 0 Solving 49 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1r = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1r = 0 + -49 -1r = 0 + -49 Combine like terms: 0 + -49 = -49 -1r = -49 Divide each side by '-1'. r = 49 Simplifying r = 49Solution
r = {-5, 49}
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