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Simplifying 12r2 + -11r + -56 = 0 Reorder the terms: -56 + -11r + 12r2 = 0 Solving -56 + -11r + 12r2 = 0 Solving for variable 'r'. Factor a trinomial. (-7 + -4r)(8 + -3r) = 0Subproblem 1
Set the factor '(-7 + -4r)' equal to zero and attempt to solve: Simplifying -7 + -4r = 0 Solving -7 + -4r = 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 + -4r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4r = 0 + 7 -4r = 0 + 7 Combine like terms: 0 + 7 = 7 -4r = 7 Divide each side by '-4'. r = -1.75 Simplifying r = -1.75Subproblem 2
Set the factor '(8 + -3r)' equal to zero and attempt to solve: Simplifying 8 + -3r = 0 Solving 8 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3r = 0 + -8 -3r = 0 + -8 Combine like terms: 0 + -8 = -8 -3r = -8 Divide each side by '-3'. r = 2.666666667 Simplifying r = 2.666666667Solution
r = {-1.75, 2.666666667}
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