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Simplifying (x + 2)(x + 3) = x(x) + 5x + 6 Reorder the terms: (2 + x)(x + 3) = x(x) + 5x + 6 Reorder the terms: (2 + x)(3 + x) = x(x) + 5x + 6 Multiply (2 + x) * (3 + x) (2(3 + x) + x(3 + x)) = x(x) + 5x + 6 ((3 * 2 + x * 2) + x(3 + x)) = x(x) + 5x + 6 ((6 + 2x) + x(3 + x)) = x(x) + 5x + 6 (6 + 2x + (3 * x + x * x)) = x(x) + 5x + 6 (6 + 2x + (3x + x2)) = x(x) + 5x + 6 Combine like terms: 2x + 3x = 5x (6 + 5x + x2) = x(x) + 5x + 6 Multiply x * x 6 + 5x + x2 = x2 + 5x + 6 Reorder the terms: 6 + 5x + x2 = 6 + 5x + x2 Add '-6' to each side of the equation. 6 + 5x + -6 + x2 = 6 + 5x + -6 + x2 Reorder the terms: 6 + -6 + 5x + x2 = 6 + 5x + -6 + x2 Combine like terms: 6 + -6 = 0 0 + 5x + x2 = 6 + 5x + -6 + x2 5x + x2 = 6 + 5x + -6 + x2 Reorder the terms: 5x + x2 = 6 + -6 + 5x + x2 Combine like terms: 6 + -6 = 0 5x + x2 = 0 + 5x + x2 5x + x2 = 5x + x2 Add '-5x' to each side of the equation. 5x + -5x + x2 = 5x + -5x + x2 Combine like terms: 5x + -5x = 0 0 + x2 = 5x + -5x + x2 x2 = 5x + -5x + x2 Combine like terms: 5x + -5x = 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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