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Simplifying r2 = -1r + 30 Reorder the terms: r2 = 30 + -1r Solving r2 = 30 + -1r Solving for variable 'r'. Reorder the terms: -30 + r + r2 = 30 + -1r + -30 + r Reorder the terms: -30 + r + r2 = 30 + -30 + -1r + r Combine like terms: 30 + -30 = 0 -30 + r + r2 = 0 + -1r + r -30 + r + r2 = -1r + r Combine like terms: -1r + r = 0 -30 + r + r2 = 0 Factor a trinomial. (-6 + -1r)(5 + -1r) = 0Subproblem 1
Set the factor '(-6 + -1r)' equal to zero and attempt to solve: Simplifying -6 + -1r = 0 Solving -6 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1r = 0 + 6 -1r = 0 + 6 Combine like terms: 0 + 6 = 6 -1r = 6 Divide each side by '-1'. r = -6 Simplifying r = -6Subproblem 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 = {-6, 5}
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