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Simplifying 5r2 + 70r + 245 = 0 Reorder the terms: 245 + 70r + 5r2 = 0 Solving 245 + 70r + 5r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5'. 5(49 + 14r + r2) = 0 Factor a trinomial. 5((7 + r)(7 + r)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + r)' equal to zero and attempt to solve: Simplifying 7 + r = 0 Solving 7 + r = 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 + r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + r = 0 + -7 r = 0 + -7 Combine like terms: 0 + -7 = -7 r = -7 Simplifying r = -7Subproblem 2
Set the factor '(7 + r)' equal to zero and attempt to solve: Simplifying 7 + r = 0 Solving 7 + r = 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 + r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + r = 0 + -7 r = 0 + -7 Combine like terms: 0 + -7 = -7 r = -7 Simplifying r = -7Solution
r = {-7, -7}
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