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Simplifying (5r2 + 20r + -700) = 0 Reorder the terms: (-700 + 20r + 5r2) = 0 Remove parenthesis around (-700 + 20r + 5r2) -700 + 20r + 5r2 = 0 Solving -700 + 20r + 5r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5'. 5(-140 + 4r + r2) = 0 Factor a trinomial. 5((-14 + -1r)(10 + -1r)) = 0 Ignore the factor 5.Subproblem 1
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 = -14Subproblem 2
Set the factor '(10 + -1r)' equal to zero and attempt to solve: Simplifying 10 + -1r = 0 Solving 10 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 0 + -10 -1r = 0 + -10 Combine like terms: 0 + -10 = -10 -1r = -10 Divide each side by '-1'. r = 10 Simplifying r = 10Solution
r = {-14, 10}
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