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Simplifying 2r2 + r + -9 = -3 Reorder the terms: -9 + r + 2r2 = -3 Solving -9 + r + 2r2 = -3 Solving for variable 'r'. Reorder the terms: -9 + 3 + r + 2r2 = -3 + 3 Combine like terms: -9 + 3 = -6 -6 + r + 2r2 = -3 + 3 Combine like terms: -3 + 3 = 0 -6 + r + 2r2 = 0 Factor a trinomial. (-2 + -1r)(3 + -2r) = 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 '(3 + -2r)' equal to zero and attempt to solve: Simplifying 3 + -2r = 0 Solving 3 + -2r = 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 + -2r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = 0 + -3 -2r = 0 + -3 Combine like terms: 0 + -3 = -3 -2r = -3 Divide each side by '-2'. r = 1.5 Simplifying r = 1.5Solution
r = {-2, 1.5}
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