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Simplifying 5r2 + -12r + -44 = 0 Reorder the terms: -44 + -12r + 5r2 = 0 Solving -44 + -12r + 5r2 = 0 Solving for variable 'r'. Factor a trinomial. (-2 + -1r)(22 + -5r) = 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 '(22 + -5r)' equal to zero and attempt to solve: Simplifying 22 + -5r = 0 Solving 22 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5r = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5r = 0 + -22 -5r = 0 + -22 Combine like terms: 0 + -22 = -22 -5r = -22 Divide each side by '-5'. r = 4.4 Simplifying r = 4.4Solution
r = {-2, 4.4}
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