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Simplifying r2 + -17r + 30 = 0 Reorder the terms: 30 + -17r + r2 = 0 Solving 30 + -17r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (2 + -1r)(15 + -1r) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(15 + -1r)' equal to zero and attempt to solve: Simplifying 15 + -1r = 0 Solving 15 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1r = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1r = 0 + -15 -1r = 0 + -15 Combine like terms: 0 + -15 = -15 -1r = -15 Divide each side by '-1'. r = 15 Simplifying r = 15Solution
r = {2, 15}
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