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Simplifying 5r2 = -36r + 32 Reorder the terms: 5r2 = 32 + -36r Solving 5r2 = 32 + -36r Solving for variable 'r'. Reorder the terms: -32 + 36r + 5r2 = 32 + -36r + -32 + 36r Reorder the terms: -32 + 36r + 5r2 = 32 + -32 + -36r + 36r Combine like terms: 32 + -32 = 0 -32 + 36r + 5r2 = 0 + -36r + 36r -32 + 36r + 5r2 = -36r + 36r Combine like terms: -36r + 36r = 0 -32 + 36r + 5r2 = 0 Factor a trinomial. (-8 + -1r)(4 + -5r) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(4 + -5r)' equal to zero and attempt to solve: Simplifying 4 + -5r = 0 Solving 4 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5r = 0 + -4 -5r = 0 + -4 Combine like terms: 0 + -4 = -4 -5r = -4 Divide each side by '-5'. r = 0.8 Simplifying r = 0.8Solution
r = {-8, 0.8}
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