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Simplifying -4r2 + -3r + 76 = 0 Reorder the terms: 76 + -3r + -4r2 = 0 Solving 76 + -3r + -4r2 = 0 Solving for variable 'r'. Factor a trinomial. (4 + -1r)(19 + 4r) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(19 + 4r)' equal to zero and attempt to solve: Simplifying 19 + 4r = 0 Solving 19 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4r = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4r = 0 + -19 4r = 0 + -19 Combine like terms: 0 + -19 = -19 4r = -19 Divide each side by '4'. r = -4.75 Simplifying r = -4.75Solution
r = {4, -4.75}
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