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Simplifying 11x(4x + -3) + -6(4x + -3) = 0 Reorder the terms: 11x(-3 + 4x) + -6(4x + -3) = 0 (-3 * 11x + 4x * 11x) + -6(4x + -3) = 0 (-33x + 44x2) + -6(4x + -3) = 0 Reorder the terms: -33x + 44x2 + -6(-3 + 4x) = 0 -33x + 44x2 + (-3 * -6 + 4x * -6) = 0 -33x + 44x2 + (18 + -24x) = 0 Reorder the terms: 18 + -33x + -24x + 44x2 = 0 Combine like terms: -33x + -24x = -57x 18 + -57x + 44x2 = 0 Solving 18 + -57x + 44x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -11x)(3 + -4x) = 0Subproblem 1
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 = 0.5454545455Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {0.5454545455, 0.75}
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