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Simplifying 3x + -2 + x(3 + -1x) = (x + -3)(x + 2) + -1x(2x + 1) 3x + -2 + (3 * x + -1x * x) = (x + -3)(x + 2) + -1x(2x + 1) 3x + -2 + (3x + -1x2) = (x + -3)(x + 2) + -1x(2x + 1) Reorder the terms: -2 + 3x + 3x + -1x2 = (x + -3)(x + 2) + -1x(2x + 1) Combine like terms: 3x + 3x = 6x -2 + 6x + -1x2 = (x + -3)(x + 2) + -1x(2x + 1) Reorder the terms: -2 + 6x + -1x2 = (-3 + x)(x + 2) + -1x(2x + 1) Reorder the terms: -2 + 6x + -1x2 = (-3 + x)(2 + x) + -1x(2x + 1) Multiply (-3 + x) * (2 + x) -2 + 6x + -1x2 = (-3(2 + x) + x(2 + x)) + -1x(2x + 1) -2 + 6x + -1x2 = ((2 * -3 + x * -3) + x(2 + x)) + -1x(2x + 1) -2 + 6x + -1x2 = ((-6 + -3x) + x(2 + x)) + -1x(2x + 1) -2 + 6x + -1x2 = (-6 + -3x + (2 * x + x * x)) + -1x(2x + 1) -2 + 6x + -1x2 = (-6 + -3x + (2x + x2)) + -1x(2x + 1) Combine like terms: -3x + 2x = -1x -2 + 6x + -1x2 = (-6 + -1x + x2) + -1x(2x + 1) Reorder the terms: -2 + 6x + -1x2 = -6 + -1x + x2 + -1x(1 + 2x) -2 + 6x + -1x2 = -6 + -1x + x2 + (1 * -1x + 2x * -1x) -2 + 6x + -1x2 = -6 + -1x + x2 + (-1x + -2x2) Reorder the terms: -2 + 6x + -1x2 = -6 + -1x + -1x + x2 + -2x2 Combine like terms: -1x + -1x = -2x -2 + 6x + -1x2 = -6 + -2x + x2 + -2x2 Combine like terms: x2 + -2x2 = -1x2 -2 + 6x + -1x2 = -6 + -2x + -1x2 Add 'x2' to each side of the equation. -2 + 6x + -1x2 + x2 = -6 + -2x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -2 + 6x + 0 = -6 + -2x + -1x2 + x2 -2 + 6x = -6 + -2x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -2 + 6x = -6 + -2x + 0 -2 + 6x = -6 + -2x Solving -2 + 6x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 6x + 2x = -6 + -2x + 2x Combine like terms: 6x + 2x = 8x -2 + 8x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 8x = -6 + 0 -2 + 8x = -6 Add '2' to each side of the equation. -2 + 2 + 8x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = -6 + 2 8x = -6 + 2 Combine like terms: -6 + 2 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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