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Simplifying 22r2 + 880r = 16632 Reorder the terms: 880r + 22r2 = 16632 Solving 880r + 22r2 = 16632 Solving for variable 'r'. Reorder the terms: -16632 + 880r + 22r2 = 16632 + -16632 Combine like terms: 16632 + -16632 = 0 -16632 + 880r + 22r2 = 0 Factor out the Greatest Common Factor (GCF), '22'. 22(-756 + 40r + r2) = 0 Factor a trinomial. 22((-54 + -1r)(14 + -1r)) = 0 Ignore the factor 22.Subproblem 1
Set the factor '(-54 + -1r)' equal to zero and attempt to solve: Simplifying -54 + -1r = 0 Solving -54 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -1r = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -1r = 0 + 54 -1r = 0 + 54 Combine like terms: 0 + 54 = 54 -1r = 54 Divide each side by '-1'. r = -54 Simplifying r = -54Subproblem 2
Set the factor '(14 + -1r)' equal to zero and attempt to solve: Simplifying 14 + -1r = 0 Solving 14 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1r = 0 + -14 -1r = 0 + -14 Combine like terms: 0 + -14 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14Solution
r = {-54, 14}
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