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Simplifying 3r2 + -168 = -3r Reorder the terms: -168 + 3r2 = -3r Solving -168 + 3r2 = -3r Solving for variable 'r'. Reorder the terms: -168 + 3r + 3r2 = -3r + 3r Combine like terms: -3r + 3r = 0 -168 + 3r + 3r2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-56 + r + r2) = 0 Factor a trinomial. 3((-8 + -1r)(7 + -1r)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -1r)' equal to zero and attempt to solve: Simplifying -8 + -1r = 0 Solving -8 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1r = 0 + 8 -1r = 0 + 8 Combine like terms: 0 + 8 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8Subproblem 2
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 = 7Solution
r = {-8, 7}
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