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Simplifying (x + 1)(x + 2) + -2 = x(x + 3) Reorder the terms: (1 + x)(x + 2) + -2 = x(x + 3) Reorder the terms: (1 + x)(2 + x) + -2 = x(x + 3) Multiply (1 + x) * (2 + x) (1(2 + x) + x(2 + x)) + -2 = x(x + 3) ((2 * 1 + x * 1) + x(2 + x)) + -2 = x(x + 3) ((2 + 1x) + x(2 + x)) + -2 = x(x + 3) (2 + 1x + (2 * x + x * x)) + -2 = x(x + 3) (2 + 1x + (2x + x2)) + -2 = x(x + 3) Combine like terms: 1x + 2x = 3x (2 + 3x + x2) + -2 = x(x + 3) Reorder the terms: 2 + -2 + 3x + x2 = x(x + 3) Combine like terms: 2 + -2 = 0 0 + 3x + x2 = x(x + 3) 3x + x2 = x(x + 3) Reorder the terms: 3x + x2 = x(3 + x) 3x + x2 = (3 * x + x * x) 3x + x2 = (3x + x2) Add '-3x' to each side of the equation. 3x + -3x + x2 = 3x + -3x + x2 Combine like terms: 3x + -3x = 0 0 + x2 = 3x + -3x + x2 x2 = 3x + -3x + x2 Combine like terms: 3x + -3x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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