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Simplifying (x + 6)(x + 3) = x2 + 9x + 18 Reorder the terms: (6 + x)(x + 3) = x2 + 9x + 18 Reorder the terms: (6 + x)(3 + x) = x2 + 9x + 18 Multiply (6 + x) * (3 + x) (6(3 + x) + x(3 + x)) = x2 + 9x + 18 ((3 * 6 + x * 6) + x(3 + x)) = x2 + 9x + 18 ((18 + 6x) + x(3 + x)) = x2 + 9x + 18 (18 + 6x + (3 * x + x * x)) = x2 + 9x + 18 (18 + 6x + (3x + x2)) = x2 + 9x + 18 Combine like terms: 6x + 3x = 9x (18 + 9x + x2) = x2 + 9x + 18 Reorder the terms: 18 + 9x + x2 = 18 + 9x + x2 Add '-18' to each side of the equation. 18 + 9x + -18 + x2 = 18 + 9x + -18 + x2 Reorder the terms: 18 + -18 + 9x + x2 = 18 + 9x + -18 + x2 Combine like terms: 18 + -18 = 0 0 + 9x + x2 = 18 + 9x + -18 + x2 9x + x2 = 18 + 9x + -18 + x2 Reorder the terms: 9x + x2 = 18 + -18 + 9x + x2 Combine like terms: 18 + -18 = 0 9x + x2 = 0 + 9x + x2 9x + x2 = 9x + x2 Add '-9x' to each side of the equation. 9x + -9x + x2 = 9x + -9x + x2 Combine like terms: 9x + -9x = 0 0 + x2 = 9x + -9x + x2 x2 = 9x + -9x + x2 Combine like terms: 9x + -9x = 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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