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Simplifying 5r2 + -51 = 2r Reorder the terms: -51 + 5r2 = 2r Solving -51 + 5r2 = 2r Solving for variable 'r'. Reorder the terms: -51 + -2r + 5r2 = 2r + -2r Combine like terms: 2r + -2r = 0 -51 + -2r + 5r2 = 0 Factor a trinomial. (-3 + -1r)(17 + -5r) = 0Subproblem 1
Set the factor '(-3 + -1r)' equal to zero and attempt to solve: Simplifying -3 + -1r = 0 Solving -3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1r = 0 + 3 -1r = 0 + 3 Combine like terms: 0 + 3 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3Subproblem 2
Set the factor '(17 + -5r)' equal to zero and attempt to solve: Simplifying 17 + -5r = 0 Solving 17 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5r = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5r = 0 + -17 -5r = 0 + -17 Combine like terms: 0 + -17 = -17 -5r = -17 Divide each side by '-5'. r = 3.4 Simplifying r = 3.4Solution
r = {-3, 3.4}
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