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Simplifying r2 + 14r + -207 = 0 Reorder the terms: -207 + 14r + r2 = 0 Solving -207 + 14r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-23 + -1r)(9 + -1r) = 0Subproblem 1
Set the factor '(-23 + -1r)' equal to zero and attempt to solve: Simplifying -23 + -1r = 0 Solving -23 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1r = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1r = 0 + 23 -1r = 0 + 23 Combine like terms: 0 + 23 = 23 -1r = 23 Divide each side by '-1'. r = -23 Simplifying r = -23Subproblem 2
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 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 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Solution
r = {-23, 9}
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