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Simplifying 3r2 = 10r + 8 Reorder the terms: 3r2 = 8 + 10r Solving 3r2 = 8 + 10r Solving for variable 'r'. Reorder the terms: -8 + -10r + 3r2 = 8 + 10r + -8 + -10r Reorder the terms: -8 + -10r + 3r2 = 8 + -8 + 10r + -10r Combine like terms: 8 + -8 = 0 -8 + -10r + 3r2 = 0 + 10r + -10r -8 + -10r + 3r2 = 10r + -10r Combine like terms: 10r + -10r = 0 -8 + -10r + 3r2 = 0 Factor a trinomial. (-2 + -3r)(4 + -1r) = 0Subproblem 1
Set the factor '(-2 + -3r)' equal to zero and attempt to solve: Simplifying -2 + -3r = 0 Solving -2 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3r = 0 + 2 -3r = 0 + 2 Combine like terms: 0 + 2 = 2 -3r = 2 Divide each side by '-3'. r = -0.6666666667 Simplifying r = -0.6666666667Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 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 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {-0.6666666667, 4}
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