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Simplifying 2r2 + 1r + -45 = 0 Reorder the terms: -45 + 1r + 2r2 = 0 Solving -45 + 1r + 2r2 = 0 Solving for variable 'r'. Factor a trinomial. (-5 + -1r)(9 + -2r) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(9 + -2r)' equal to zero and attempt to solve: Simplifying 9 + -2r = 0 Solving 9 + -2r = 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 + -2r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2r = 0 + -9 -2r = 0 + -9 Combine like terms: 0 + -9 = -9 -2r = -9 Divide each side by '-2'. r = 4.5 Simplifying r = 4.5Solution
r = {-5, 4.5}
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