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Simplifying 2r2 + -1r + -26 = 2 Reorder the terms: -26 + -1r + 2r2 = 2 Solving -26 + -1r + 2r2 = 2 Solving for variable 'r'. Reorder the terms: -26 + -2 + -1r + 2r2 = 2 + -2 Combine like terms: -26 + -2 = -28 -28 + -1r + 2r2 = 2 + -2 Combine like terms: 2 + -2 = 0 -28 + -1r + 2r2 = 0 Factor a trinomial. (-7 + -2r)(4 + -1r) = 0Subproblem 1
Set the factor '(-7 + -2r)' equal to zero and attempt to solve: Simplifying -7 + -2r = 0 Solving -7 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2r = 0 + 7 -2r = 0 + 7 Combine like terms: 0 + 7 = 7 -2r = 7 Divide each side by '-2'. r = -3.5 Simplifying r = -3.5Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {-3.5, 4}
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