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Simplifying 8r2 = -25 + 45r Solving 8r2 = -25 + 45r Solving for variable 'r'. Reorder the terms: 25 + -45r + 8r2 = -25 + 45r + 25 + -45r Reorder the terms: 25 + -45r + 8r2 = -25 + 25 + 45r + -45r Combine like terms: -25 + 25 = 0 25 + -45r + 8r2 = 0 + 45r + -45r 25 + -45r + 8r2 = 45r + -45r Combine like terms: 45r + -45r = 0 25 + -45r + 8r2 = 0 Factor a trinomial. (5 + -8r)(5 + -1r) = 0Subproblem 1
Set the factor '(5 + -8r)' equal to zero and attempt to solve: Simplifying 5 + -8r = 0 Solving 5 + -8r = 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 + -8r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8r = 0 + -5 -8r = 0 + -5 Combine like terms: 0 + -5 = -5 -8r = -5 Divide each side by '-8'. r = 0.625 Simplifying r = 0.625Subproblem 2
Set the factor '(5 + -1r)' equal to zero and attempt to solve: Simplifying 5 + -1r = 0 Solving 5 + -1r = 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 + -1r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 0 + -5 -1r = 0 + -5 Combine like terms: 0 + -5 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5Solution
r = {0.625, 5}
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