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Simplifying 3r2 + -7r + 8 = 7r Reorder the terms: 8 + -7r + 3r2 = 7r Solving 8 + -7r + 3r2 = 7r Solving for variable 'r'. Reorder the terms: 8 + -7r + -7r + 3r2 = 7r + -7r Combine like terms: -7r + -7r = -14r 8 + -14r + 3r2 = 7r + -7r Combine like terms: 7r + -7r = 0 8 + -14r + 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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