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Simplifying 4r2 + -16r + -308 = 0 Reorder the terms: -308 + -16r + 4r2 = 0 Solving -308 + -16r + 4r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4'. 4(-77 + -4r + r2) = 0 Factor a trinomial. 4((-7 + -1r)(11 + -1r)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -1r)' equal to zero and attempt to solve: Simplifying -7 + -1r = 0 Solving -7 + -1r = 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 + -1r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1r = 0 + 7 -1r = 0 + 7 Combine like terms: 0 + 7 = 7 -1r = 7 Divide each side by '-1'. r = -7 Simplifying r = -7Subproblem 2
Set the factor '(11 + -1r)' equal to zero and attempt to solve: Simplifying 11 + -1r = 0 Solving 11 + -1r = 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 + -1r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1r = 0 + -11 -1r = 0 + -11 Combine like terms: 0 + -11 = -11 -1r = -11 Divide each side by '-1'. r = 11 Simplifying r = 11Solution
r = {-7, 11}
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