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Simplifying (X + 3)(X + -11) = 0 Reorder the terms: (3 + X)(X + -11) = 0 Reorder the terms: (3 + X)(-11 + X) = 0 Multiply (3 + X) * (-11 + X) (3(-11 + X) + X(-11 + X)) = 0 ((-11 * 3 + X * 3) + X(-11 + X)) = 0 ((-33 + 3X) + X(-11 + X)) = 0 (-33 + 3X + (-11 * X + X * X)) = 0 (-33 + 3X + (-11X + X2)) = 0 Combine like terms: 3X + -11X = -8X (-33 + -8X + X2) = 0 Solving -33 + -8X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-3 + -1X)(11 + -1X) = 0Subproblem 1
Set the factor '(-3 + -1X)' equal to zero and attempt to solve: Simplifying -3 + -1X = 0 Solving -3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1X = 0 + 3 -1X = 0 + 3 Combine like terms: 0 + 3 = 3 -1X = 3 Divide each side by '-1'. X = -3 Simplifying X = -3Subproblem 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 = {-3, 11}
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