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Simplifying -3r2 + 34r + -80 = 0 Reorder the terms: -80 + 34r + -3r2 = 0 Solving -80 + 34r + -3r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + r)(10 + -3r) = 0Subproblem 1
Set the factor '(-8 + r)' equal to zero and attempt to solve: Simplifying -8 + r = 0 Solving -8 + r = 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 + r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + r = 0 + 8 r = 0 + 8 Combine like terms: 0 + 8 = 8 r = 8 Simplifying r = 8Subproblem 2
Set the factor '(10 + -3r)' equal to zero and attempt to solve: Simplifying 10 + -3r = 0 Solving 10 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3r = 0 + -10 -3r = 0 + -10 Combine like terms: 0 + -10 = -10 -3r = -10 Divide each side by '-3'. r = 3.333333333 Simplifying r = 3.333333333Solution
r = {8, 3.333333333}
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