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Simplifying r2 + 33r + 90 = 0 Reorder the terms: 90 + 33r + r2 = 0 Solving 90 + 33r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (30 + r)(3 + r) = 0Subproblem 1
Set the factor '(30 + r)' equal to zero and attempt to solve: Simplifying 30 + r = 0 Solving 30 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + r = 0 + -30 Combine like terms: 30 + -30 = 0 0 + r = 0 + -30 r = 0 + -30 Combine like terms: 0 + -30 = -30 r = -30 Simplifying r = -30Subproblem 2
Set the factor '(3 + r)' equal to zero and attempt to solve: Simplifying 3 + r = 0 Solving 3 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r = 0 + -3 r = 0 + -3 Combine like terms: 0 + -3 = -3 r = -3 Simplifying r = -3Solution
r = {-30, -3}
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