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Simplifying (11x + -4)(2 + x) = 0 Reorder the terms: (-4 + 11x)(2 + x) = 0 Multiply (-4 + 11x) * (2 + x) (-4(2 + x) + 11x * (2 + x)) = 0 ((2 * -4 + x * -4) + 11x * (2 + x)) = 0 ((-8 + -4x) + 11x * (2 + x)) = 0 (-8 + -4x + (2 * 11x + x * 11x)) = 0 (-8 + -4x + (22x + 11x2)) = 0 Combine like terms: -4x + 22x = 18x (-8 + 18x + 11x2) = 0 Solving -8 + 18x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(4 + -11x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(4 + -11x)' equal to zero and attempt to solve: Simplifying 4 + -11x = 0 Solving 4 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -11x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 0 + -4 -11x = 0 + -4 Combine like terms: 0 + -4 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636Solution
x = {-2, 0.3636363636}
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