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Simplifying 4r2 + 8r + -77 = 0 Reorder the terms: -77 + 8r + 4r2 = 0 Solving -77 + 8r + 4r2 = 0 Solving for variable 'r'. Factor a trinomial. (-11 + -2r)(7 + -2r) = 0Subproblem 1
Set the factor '(-11 + -2r)' equal to zero and attempt to solve: Simplifying -11 + -2r = 0 Solving -11 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2r = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2r = 0 + 11 -2r = 0 + 11 Combine like terms: 0 + 11 = 11 -2r = 11 Divide each side by '-2'. r = -5.5 Simplifying r = -5.5Subproblem 2
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 = 3.5Solution
r = {-5.5, 3.5}
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