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Simplifying X(X + 8) + -209 = 0 Reorder the terms: X(8 + X) + -209 = 0 (8 * X + X * X) + -209 = 0 (8X + X2) + -209 = 0 Reorder the terms: -209 + 8X + X2 = 0 Solving -209 + 8X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-19 + -1X)(11 + -1X) = 0Subproblem 1
Set the factor '(-19 + -1X)' equal to zero and attempt to solve: Simplifying -19 + -1X = 0 Solving -19 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1X = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1X = 0 + 19 -1X = 0 + 19 Combine like terms: 0 + 19 = 19 -1X = 19 Divide each side by '-1'. X = -19 Simplifying X = -19Subproblem 2
Set the factor '(11 + -1X)' equal to zero and attempt to solve: Simplifying 11 + -1X = 0 Solving 11 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1X = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1X = 0 + -11 -1X = 0 + -11 Combine like terms: 0 + -11 = -11 -1X = -11 Divide each side by '-1'. X = 11 Simplifying X = 11Solution
X = {-19, 11}
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