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Simplifying (x + -1)(x + 2) = (x + 3)(x + 4) Reorder the terms: (-1 + x)(x + 2) = (x + 3)(x + 4) Reorder the terms: (-1 + x)(2 + x) = (x + 3)(x + 4) Multiply (-1 + x) * (2 + x) (-1(2 + x) + x(2 + x)) = (x + 3)(x + 4) ((2 * -1 + x * -1) + x(2 + x)) = (x + 3)(x + 4) ((-2 + -1x) + x(2 + x)) = (x + 3)(x + 4) (-2 + -1x + (2 * x + x * x)) = (x + 3)(x + 4) (-2 + -1x + (2x + x2)) = (x + 3)(x + 4) Combine like terms: -1x + 2x = 1x (-2 + 1x + x2) = (x + 3)(x + 4) Reorder the terms: -2 + 1x + x2 = (3 + x)(x + 4) Reorder the terms: -2 + 1x + x2 = (3 + x)(4 + x) Multiply (3 + x) * (4 + x) -2 + 1x + x2 = (3(4 + x) + x(4 + x)) -2 + 1x + x2 = ((4 * 3 + x * 3) + x(4 + x)) -2 + 1x + x2 = ((12 + 3x) + x(4 + x)) -2 + 1x + x2 = (12 + 3x + (4 * x + x * x)) -2 + 1x + x2 = (12 + 3x + (4x + x2)) Combine like terms: 3x + 4x = 7x -2 + 1x + x2 = (12 + 7x + x2) Add '-1x2' to each side of the equation. -2 + 1x + x2 + -1x2 = 12 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 1x + 0 = 12 + 7x + x2 + -1x2 -2 + 1x = 12 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 1x = 12 + 7x + 0 -2 + 1x = 12 + 7x Solving -2 + 1x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -2 + 1x + -7x = 12 + 7x + -7x Combine like terms: 1x + -7x = -6x -2 + -6x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -6x = 12 + 0 -2 + -6x = 12 Add '2' to each side of the equation. -2 + 2 + -6x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 12 + 2 -6x = 12 + 2 Combine like terms: 12 + 2 = 14 -6x = 14 Divide each side by '-6'. x = -2.333333333 Simplifying x = -2.333333333
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