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Simplifying 12r2 + -7r + -12 = 0 Reorder the terms: -12 + -7r + 12r2 = 0 Solving -12 + -7r + 12r2 = 0 Solving for variable 'r'. Factor a trinomial. (-3 + -4r)(4 + -3r) = 0Subproblem 1
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 = -0.75Subproblem 2
Set the factor '(4 + -3r)' equal to zero and attempt to solve: Simplifying 4 + -3r = 0 Solving 4 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3r = 0 + -4 -3r = 0 + -4 Combine like terms: 0 + -4 = -4 -3r = -4 Divide each side by '-3'. r = 1.333333333 Simplifying r = 1.333333333Solution
r = {-0.75, 1.333333333}
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