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Simplifying 2r2 + -1r + -4 = 2 Reorder the terms: -4 + -1r + 2r2 = 2 Solving -4 + -1r + 2r2 = 2 Solving for variable 'r'. Reorder the terms: -4 + -2 + -1r + 2r2 = 2 + -2 Combine like terms: -4 + -2 = -6 -6 + -1r + 2r2 = 2 + -2 Combine like terms: 2 + -2 = 0 -6 + -1r + 2r2 = 0 Factor a trinomial. (-3 + -2r)(2 + -1r) = 0Subproblem 1
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 = -1.5Subproblem 2
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 = 2Solution
r = {-1.5, 2}
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