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Simplifying (11x + -3)(2x + -3) = 0 Reorder the terms: (-3 + 11x)(2x + -3) = 0 Reorder the terms: (-3 + 11x)(-3 + 2x) = 0 Multiply (-3 + 11x) * (-3 + 2x) (-3(-3 + 2x) + 11x * (-3 + 2x)) = 0 ((-3 * -3 + 2x * -3) + 11x * (-3 + 2x)) = 0 ((9 + -6x) + 11x * (-3 + 2x)) = 0 (9 + -6x + (-3 * 11x + 2x * 11x)) = 0 (9 + -6x + (-33x + 22x2)) = 0 Combine like terms: -6x + -33x = -39x (9 + -39x + 22x2) = 0 Solving 9 + -39x + 22x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -11x)(3 + -2x) = 0Subproblem 1
Set the factor '(3 + -11x)' equal to zero and attempt to solve: Simplifying 3 + -11x = 0 Solving 3 + -11x = 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 + -11x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = 0 + -3 -11x = 0 + -3 Combine like terms: 0 + -3 = -3 -11x = -3 Divide each side by '-11'. x = 0.2727272727 Simplifying x = 0.2727272727Subproblem 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 = {0.2727272727, 1.5}
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