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Simplifying 4x(x + 1) + -1x(x + -2) = 3(x + -2)(x + 1) Reorder the terms: 4x(1 + x) + -1x(x + -2) = 3(x + -2)(x + 1) (1 * 4x + x * 4x) + -1x(x + -2) = 3(x + -2)(x + 1) (4x + 4x2) + -1x(x + -2) = 3(x + -2)(x + 1) Reorder the terms: 4x + 4x2 + -1x(-2 + x) = 3(x + -2)(x + 1) 4x + 4x2 + (-2 * -1x + x * -1x) = 3(x + -2)(x + 1) 4x + 4x2 + (2x + -1x2) = 3(x + -2)(x + 1) Reorder the terms: 4x + 2x + 4x2 + -1x2 = 3(x + -2)(x + 1) Combine like terms: 4x + 2x = 6x 6x + 4x2 + -1x2 = 3(x + -2)(x + 1) Combine like terms: 4x2 + -1x2 = 3x2 6x + 3x2 = 3(x + -2)(x + 1) Reorder the terms: 6x + 3x2 = 3(-2 + x)(x + 1) Reorder the terms: 6x + 3x2 = 3(-2 + x)(1 + x) Multiply (-2 + x) * (1 + x) 6x + 3x2 = 3(-2(1 + x) + x(1 + x)) 6x + 3x2 = 3((1 * -2 + x * -2) + x(1 + x)) 6x + 3x2 = 3((-2 + -2x) + x(1 + x)) 6x + 3x2 = 3(-2 + -2x + (1 * x + x * x)) 6x + 3x2 = 3(-2 + -2x + (1x + x2)) Combine like terms: -2x + 1x = -1x 6x + 3x2 = 3(-2 + -1x + x2) 6x + 3x2 = (-2 * 3 + -1x * 3 + x2 * 3) 6x + 3x2 = (-6 + -3x + 3x2) Add '-3x2' to each side of the equation. 6x + 3x2 + -3x2 = -6 + -3x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 6x + 0 = -6 + -3x + 3x2 + -3x2 6x = -6 + -3x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 6x = -6 + -3x + 0 6x = -6 + -3x Solving 6x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6x + 3x = -6 + -3x + 3x Combine like terms: 6x + 3x = 9x 9x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 9x = -6 + 0 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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