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Simplifying 3r2 = 19r + 14 Reorder the terms: 3r2 = 14 + 19r Solving 3r2 = 14 + 19r Solving for variable 'r'. Reorder the terms: -14 + -19r + 3r2 = 14 + 19r + -14 + -19r Reorder the terms: -14 + -19r + 3r2 = 14 + -14 + 19r + -19r Combine like terms: 14 + -14 = 0 -14 + -19r + 3r2 = 0 + 19r + -19r -14 + -19r + 3r2 = 19r + -19r Combine like terms: 19r + -19r = 0 -14 + -19r + 3r2 = 0 Factor a trinomial. (-2 + -3r)(7 + -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 '(7 + -1r)' equal to zero and attempt to solve: Simplifying 7 + -1r = 0 Solving 7 + -1r = 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 + -1r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 0 + -7 -1r = 0 + -7 Combine like terms: 0 + -7 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7Solution
r = {-0.6666666667, 7}
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