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