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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 + r2) = 0 Factor a trinomial. -7((10 + r)(10 + r)) = 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 + 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 = -10Solution
r = {-10, -10}
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