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Simplifying 4x2 = -11x + -6 Reorder the terms: 4x2 = -6 + -11x Solving 4x2 = -6 + -11x Solving for variable 'x'. Reorder the terms: 6 + 11x + 4x2 = -6 + -11x + 6 + 11x Reorder the terms: 6 + 11x + 4x2 = -6 + 6 + -11x + 11x Combine like terms: -6 + 6 = 0 6 + 11x + 4x2 = 0 + -11x + 11x 6 + 11x + 4x2 = -11x + 11x Combine like terms: -11x + 11x = 0 6 + 11x + 4x2 = 0 Factor a trinomial. (2 + x)(3 + 4x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 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 = {-2, -0.75}
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