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Simplifying 3r2 + -25r + 10 = 2 Reorder the terms: 10 + -25r + 3r2 = 2 Solving 10 + -25r + 3r2 = 2 Solving for variable 'r'. Reorder the terms: 10 + -2 + -25r + 3r2 = 2 + -2 Combine like terms: 10 + -2 = 8 8 + -25r + 3r2 = 2 + -2 Combine like terms: 2 + -2 = 0 8 + -25r + 3r2 = 0 Factor a trinomial. (1 + -3r)(8 + -1r) = 0Subproblem 1
Set the factor '(1 + -3r)' equal to zero and attempt to solve: Simplifying 1 + -3r = 0 Solving 1 + -3r = 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 + -3r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3r = 0 + -1 -3r = 0 + -1 Combine like terms: 0 + -1 = -1 -3r = -1 Divide each side by '-3'. r = 0.3333333333 Simplifying r = 0.3333333333Subproblem 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 = {0.3333333333, 8}
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