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Simplifying 5r2 = 16 + 2r Solving 5r2 = 16 + 2r Solving for variable 'r'. Reorder the terms: -16 + -2r + 5r2 = 16 + 2r + -16 + -2r Reorder the terms: -16 + -2r + 5r2 = 16 + -16 + 2r + -2r Combine like terms: 16 + -16 = 0 -16 + -2r + 5r2 = 0 + 2r + -2r -16 + -2r + 5r2 = 2r + -2r Combine like terms: 2r + -2r = 0 -16 + -2r + 5r2 = 0 Factor a trinomial. (-8 + -5r)(2 + -1r) = 0Subproblem 1
Set the factor '(-8 + -5r)' equal to zero and attempt to solve: Simplifying -8 + -5r = 0 Solving -8 + -5r = 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 + -5r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = 0 + 8 -5r = 0 + 8 Combine like terms: 0 + 8 = 8 -5r = 8 Divide each side by '-5'. r = -1.6 Simplifying r = -1.6Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Solution
r = {-1.6, 2}
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