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Simplifying 5r2 = 39r + 8 Reorder the terms: 5r2 = 8 + 39r Solving 5r2 = 8 + 39r Solving for variable 'r'. Reorder the terms: -8 + -39r + 5r2 = 8 + 39r + -8 + -39r Reorder the terms: -8 + -39r + 5r2 = 8 + -8 + 39r + -39r Combine like terms: 8 + -8 = 0 -8 + -39r + 5r2 = 0 + 39r + -39r -8 + -39r + 5r2 = 39r + -39r Combine like terms: 39r + -39r = 0 -8 + -39r + 5r2 = 0 Factor a trinomial. (-1 + -5r)(8 + -1r) = 0Subproblem 1
Set the factor '(-1 + -5r)' equal to zero and attempt to solve: Simplifying -1 + -5r = 0 Solving -1 + -5r = 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 + -5r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5r = 0 + 1 -5r = 0 + 1 Combine like terms: 0 + 1 = 1 -5r = 1 Divide each side by '-5'. r = -0.2 Simplifying r = -0.2Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve: Simplifying 8 + -1r = 0 Solving 8 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8Solution
r = {-0.2, 8}
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