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Simplifying X2 + 11X + 19 = X + -6 Reorder the terms: 19 + 11X + X2 = X + -6 Reorder the terms: 19 + 11X + X2 = -6 + X Solving 19 + 11X + X2 = -6 + X Solving for variable 'X'. Reorder the terms: 19 + 6 + 11X + -1X + X2 = -6 + X + 6 + -1X Combine like terms: 19 + 6 = 25 25 + 11X + -1X + X2 = -6 + X + 6 + -1X Combine like terms: 11X + -1X = 10X 25 + 10X + X2 = -6 + X + 6 + -1X Reorder the terms: 25 + 10X + X2 = -6 + 6 + X + -1X Combine like terms: -6 + 6 = 0 25 + 10X + X2 = 0 + X + -1X 25 + 10X + X2 = X + -1X Combine like terms: X + -1X = 0 25 + 10X + X2 = 0 Factor a trinomial. (5 + X)(5 + X) = 0Subproblem 1
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Subproblem 2
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Solution
X = {-5, -5}
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