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Simplifying 3r2 + -40 = 19r Reorder the terms: -40 + 3r2 = 19r Solving -40 + 3r2 = 19r Solving for variable 'r'. Reorder the terms: -40 + -19r + 3r2 = 19r + -19r Combine like terms: 19r + -19r = 0 -40 + -19r + 3r2 = 0 Factor a trinomial. (-5 + -3r)(8 + -1r) = 0Subproblem 1
Set the factor '(-5 + -3r)' equal to zero and attempt to solve: Simplifying -5 + -3r = 0 Solving -5 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3r = 0 + 5 -3r = 0 + 5 Combine like terms: 0 + 5 = 5 -3r = 5 Divide each side by '-3'. r = -1.666666667 Simplifying r = -1.666666667Subproblem 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 = {-1.666666667, 8}
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