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Simplifying (-11x + 1)(-2x + 3) = 0 Reorder the terms: (1 + -11x)(-2x + 3) = 0 Reorder the terms: (1 + -11x)(3 + -2x) = 0 Multiply (1 + -11x) * (3 + -2x) (1(3 + -2x) + -11x * (3 + -2x)) = 0 ((3 * 1 + -2x * 1) + -11x * (3 + -2x)) = 0 ((3 + -2x) + -11x * (3 + -2x)) = 0 (3 + -2x + (3 * -11x + -2x * -11x)) = 0 (3 + -2x + (-33x + 22x2)) = 0 Combine like terms: -2x + -33x = -35x (3 + -35x + 22x2) = 0 Solving 3 + -35x + 22x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -11x)(3 + -2x) = 0Subproblem 1
Set the factor '(1 + -11x)' equal to zero and attempt to solve: Simplifying 1 + -11x = 0 Solving 1 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -11x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = 0 + -1 -11x = 0 + -1 Combine like terms: 0 + -1 = -1 -11x = -1 Divide each side by '-11'. x = 0.09090909091 Simplifying x = 0.09090909091Subproblem 2
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 = 1.5Solution
x = {0.09090909091, 1.5}
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