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Simplifying (3 + -2x)(11x + -6) = 0 Reorder the terms: (3 + -2x)(-6 + 11x) = 0 Multiply (3 + -2x) * (-6 + 11x) (3(-6 + 11x) + -2x * (-6 + 11x)) = 0 ((-6 * 3 + 11x * 3) + -2x * (-6 + 11x)) = 0 ((-18 + 33x) + -2x * (-6 + 11x)) = 0 (-18 + 33x + (-6 * -2x + 11x * -2x)) = 0 (-18 + 33x + (12x + -22x2)) = 0 Combine like terms: 33x + 12x = 45x (-18 + 45x + -22x2) = 0 Solving -18 + 45x + -22x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + 2x)(6 + -11x) = 0Subproblem 1
Set the factor '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 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 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(6 + -11x)' equal to zero and attempt to solve: Simplifying 6 + -11x = 0 Solving 6 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -11x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = 0 + -6 -11x = 0 + -6 Combine like terms: 0 + -6 = -6 -11x = -6 Divide each side by '-11'. x = 0.5454545455 Simplifying x = 0.5454545455Solution
x = {1.5, 0.5454545455}
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