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Simplifying x(6 + -1x)(4 + 11x) = 0 Multiply (6 + -1x) * (4 + 11x) x(6(4 + 11x) + -1x * (4 + 11x)) = 0 x((4 * 6 + 11x * 6) + -1x * (4 + 11x)) = 0 x((24 + 66x) + -1x * (4 + 11x)) = 0 x(24 + 66x + (4 * -1x + 11x * -1x)) = 0 x(24 + 66x + (-4x + -11x2)) = 0 Combine like terms: 66x + -4x = 62x x(24 + 62x + -11x2) = 0 (24 * x + 62x * x + -11x2 * x) = 0 (24x + 62x2 + -11x3) = 0 Solving 24x + 62x2 + -11x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(24 + 62x + -11x2) = 0 Factor a trinomial. x((6 + -1x)(4 + 11x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 3
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 = {0, 6, -0.3636363636}
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