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Simplifying 5r2 = -16r + 16 Reorder the terms: 5r2 = 16 + -16r Solving 5r2 = 16 + -16r Solving for variable 'r'. Reorder the terms: -16 + 16r + 5r2 = 16 + -16r + -16 + 16r Reorder the terms: -16 + 16r + 5r2 = 16 + -16 + -16r + 16r Combine like terms: 16 + -16 = 0 -16 + 16r + 5r2 = 0 + -16r + 16r -16 + 16r + 5r2 = -16r + 16r Combine like terms: -16r + 16r = 0 -16 + 16r + 5r2 = 0 Factor a trinomial. (-4 + -1r)(4 + -5r) = 0Subproblem 1
Set the factor '(-4 + -1r)' equal to zero and attempt to solve: Simplifying -4 + -1r = 0 Solving -4 + -1r = 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 + -1r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = 0 + 4 -1r = 0 + 4 Combine like terms: 0 + 4 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4Subproblem 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 = {-4, 0.8}
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