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Simplifying (x + -11)(x + -19) = 0 Reorder the terms: (-11 + x)(x + -19) = 0 Reorder the terms: (-11 + x)(-19 + x) = 0 Multiply (-11 + x) * (-19 + x) (-11(-19 + x) + x(-19 + x)) = 0 ((-19 * -11 + x * -11) + x(-19 + x)) = 0 ((209 + -11x) + x(-19 + x)) = 0 (209 + -11x + (-19 * x + x * x)) = 0 (209 + -11x + (-19x + x2)) = 0 Combine like terms: -11x + -19x = -30x (209 + -30x + x2) = 0 Solving 209 + -30x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + -1x)(19 + -1x) = 0Subproblem 1
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 = 11Subproblem 2
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 = 19Solution
x = {11, 19}
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