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