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Simplifying 36r2 + 39r + -105 = 0 Reorder the terms: -105 + 39r + 36r2 = 0 Solving -105 + 39r + 36r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3'. 3(-35 + 13r + 12r2) = 0 Factor a trinomial. 3((-7 + -3r)(5 + -4r)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -3r)' equal to zero and attempt to solve: Simplifying -7 + -3r = 0 Solving -7 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3r = 0 + 7 -3r = 0 + 7 Combine like terms: 0 + 7 = 7 -3r = 7 Divide each side by '-3'. r = -2.333333333 Simplifying r = -2.333333333Subproblem 2
Set the factor '(5 + -4r)' equal to zero and attempt to solve: Simplifying 5 + -4r = 0 Solving 5 + -4r = 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 + -4r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4r = 0 + -5 -4r = 0 + -5 Combine like terms: 0 + -5 = -5 -4r = -5 Divide each side by '-4'. r = 1.25 Simplifying r = 1.25Solution
r = {-2.333333333, 1.25}
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