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Simplifying -12r2 + 4 = 13r Reorder the terms: 4 + -12r2 = 13r Solving 4 + -12r2 = 13r Solving for variable 'r'. Reorder the terms: 4 + -13r + -12r2 = 13r + -13r Combine like terms: 13r + -13r = 0 4 + -13r + -12r2 = 0 Factor a trinomial. (1 + -4r)(4 + 3r) = 0Subproblem 1
Set the factor '(1 + -4r)' equal to zero and attempt to solve: Simplifying 1 + -4r = 0 Solving 1 + -4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4r = 0 + -1 -4r = 0 + -1 Combine like terms: 0 + -1 = -1 -4r = -1 Divide each side by '-4'. r = 0.25 Simplifying r = 0.25Subproblem 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 = {0.25, -1.333333333}
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