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Simplifying r2 + -10r + -14 = 10 Reorder the terms: -14 + -10r + r2 = 10 Solving -14 + -10r + r2 = 10 Solving for variable 'r'. Reorder the terms: -14 + -10 + -10r + r2 = 10 + -10 Combine like terms: -14 + -10 = -24 -24 + -10r + r2 = 10 + -10 Combine like terms: 10 + -10 = 0 -24 + -10r + r2 = 0 Factor a trinomial. (-2 + -1r)(12 + -1r) = 0Subproblem 1
Set the factor '(-2 + -1r)' equal to zero and attempt to solve: Simplifying -2 + -1r = 0 Solving -2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = 0 + 2 -1r = 0 + 2 Combine like terms: 0 + 2 = 2 -1r = 2 Divide each side by '-1'. r = -2 Simplifying r = -2Subproblem 2
Set the factor '(12 + -1r)' equal to zero and attempt to solve: Simplifying 12 + -1r = 0 Solving 12 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = 0 + -12 -1r = 0 + -12 Combine like terms: 0 + -12 = -12 -1r = -12 Divide each side by '-1'. r = 12 Simplifying r = 12Solution
r = {-2, 12}
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