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Simplifying 3x2 + -11x + -4 = (x + -1)(3x + 4) Reorder the terms: -4 + -11x + 3x2 = (x + -1)(3x + 4) Reorder the terms: -4 + -11x + 3x2 = (-1 + x)(3x + 4) Reorder the terms: -4 + -11x + 3x2 = (-1 + x)(4 + 3x) Multiply (-1 + x) * (4 + 3x) -4 + -11x + 3x2 = (-1(4 + 3x) + x(4 + 3x)) -4 + -11x + 3x2 = ((4 * -1 + 3x * -1) + x(4 + 3x)) -4 + -11x + 3x2 = ((-4 + -3x) + x(4 + 3x)) -4 + -11x + 3x2 = (-4 + -3x + (4 * x + 3x * x)) -4 + -11x + 3x2 = (-4 + -3x + (4x + 3x2)) Combine like terms: -3x + 4x = 1x -4 + -11x + 3x2 = (-4 + 1x + 3x2) Add '4' to each side of the equation. -4 + -11x + 4 + 3x2 = -4 + 1x + 4 + 3x2 Reorder the terms: -4 + 4 + -11x + 3x2 = -4 + 1x + 4 + 3x2 Combine like terms: -4 + 4 = 0 0 + -11x + 3x2 = -4 + 1x + 4 + 3x2 -11x + 3x2 = -4 + 1x + 4 + 3x2 Reorder the terms: -11x + 3x2 = -4 + 4 + 1x + 3x2 Combine like terms: -4 + 4 = 0 -11x + 3x2 = 0 + 1x + 3x2 -11x + 3x2 = 1x + 3x2 Add '-3x2' to each side of the equation. -11x + 3x2 + -3x2 = 1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -11x + 0 = 1x + 3x2 + -3x2 -11x = 1x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -11x = 1x + 0 -11x = 1x Solving -11x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11x + -1x = 1x + -1x Combine like terms: -11x + -1x = -12x -12x = 1x + -1x Combine like terms: 1x + -1x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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