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Simplifying 14r2 + -80r + -126 = 0 Reorder the terms: -126 + -80r + 14r2 = 0 Solving -126 + -80r + 14r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2'. 2(-63 + -40r + 7r2) = 0 Factor a trinomial. 2((-9 + -7r)(7 + -1r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -7r)' equal to zero and attempt to solve: Simplifying -9 + -7r = 0 Solving -9 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7r = 0 + 9 -7r = 0 + 9 Combine like terms: 0 + 9 = 9 -7r = 9 Divide each side by '-7'. r = -1.285714286 Simplifying r = -1.285714286Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve: Simplifying 7 + -1r = 0 Solving 7 + -1r = 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 + -1r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 0 + -7 -1r = 0 + -7 Combine like terms: 0 + -7 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7Solution
r = {-1.285714286, 7}
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