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Simplifying r2 + -1r + -90 = 0 Reorder the terms: -90 + -1r + r2 = 0 Solving -90 + -1r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-9 + -1r)(10 + -1r) = 0Subproblem 1
Set the factor '(-9 + -1r)' equal to zero and attempt to solve: Simplifying -9 + -1r = 0 Solving -9 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1r = 0 + 9 -1r = 0 + 9 Combine like terms: 0 + 9 = 9 -1r = 9 Divide each side by '-1'. r = -9 Simplifying r = -9Subproblem 2
Set the factor '(10 + -1r)' equal to zero and attempt to solve: Simplifying 10 + -1r = 0 Solving 10 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 0 + -10 -1r = 0 + -10 Combine like terms: 0 + -10 = -10 -1r = -10 Divide each side by '-1'. r = 10 Simplifying r = 10Solution
r = {-9, 10}
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