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Simplifying r2 + 10r + 18 = -6 Reorder the terms: 18 + 10r + r2 = -6 Solving 18 + 10r + r2 = -6 Solving for variable 'r'. Reorder the terms: 18 + 6 + 10r + r2 = -6 + 6 Combine like terms: 18 + 6 = 24 24 + 10r + r2 = -6 + 6 Combine like terms: -6 + 6 = 0 24 + 10r + r2 = 0 Factor a trinomial. (6 + r)(4 + r) = 0Subproblem 1
Set the factor '(6 + r)' equal to zero and attempt to solve: Simplifying 6 + r = 0 Solving 6 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + r = 0 + -6 r = 0 + -6 Combine like terms: 0 + -6 = -6 r = -6 Simplifying r = -6Subproblem 2
Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4Solution
r = {-6, -4}
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