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Simplifying 12r2 + 11r + -15 = 0 Reorder the terms: -15 + 11r + 12r2 = 0 Solving -15 + 11r + 12r2 = 0 Solving for variable 'r'. Factor a trinomial. (-5 + -3r)(3 + -4r) = 0Subproblem 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 '(3 + -4r)' equal to zero and attempt to solve: Simplifying 3 + -4r = 0 Solving 3 + -4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4r = 0 + -3 -4r = 0 + -3 Combine like terms: 0 + -3 = -3 -4r = -3 Divide each side by '-4'. r = 0.75 Simplifying r = 0.75Solution
r = {-1.666666667, 0.75}
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