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Simplifying -7r2 + 140r + -700 = 0 Reorder the terms: -700 + 140r + -7r2 = 0 Solving -700 + 140r + -7r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7'. 7(-100 + 20r + -1r2) = 0 Factor a trinomial. 7((-10 + r)(10 + -1r)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-10 + r)' equal to zero and attempt to solve: Simplifying -10 + r = 0 Solving -10 + r = 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 + r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + r = 0 + 10 r = 0 + 10 Combine like terms: 0 + 10 = 10 r = 10 Simplifying r = 10Subproblem 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 = {10, 10}
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