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Simplifying (x + 4)(x + 4) = x2 + 8x + 16 Reorder the terms: (4 + x)(x + 4) = x2 + 8x + 16 Reorder the terms: (4 + x)(4 + x) = x2 + 8x + 16 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x)) = x2 + 8x + 16 ((4 * 4 + x * 4) + x(4 + x)) = x2 + 8x + 16 ((16 + 4x) + x(4 + x)) = x2 + 8x + 16 (16 + 4x + (4 * x + x * x)) = x2 + 8x + 16 (16 + 4x + (4x + x2)) = x2 + 8x + 16 Combine like terms: 4x + 4x = 8x (16 + 8x + x2) = x2 + 8x + 16 Reorder the terms: 16 + 8x + x2 = 16 + 8x + x2 Add '-16' to each side of the equation. 16 + 8x + -16 + x2 = 16 + 8x + -16 + x2 Reorder the terms: 16 + -16 + 8x + x2 = 16 + 8x + -16 + x2 Combine like terms: 16 + -16 = 0 0 + 8x + x2 = 16 + 8x + -16 + x2 8x + x2 = 16 + 8x + -16 + x2 Reorder the terms: 8x + x2 = 16 + -16 + 8x + x2 Combine like terms: 16 + -16 = 0 8x + x2 = 0 + 8x + x2 8x + x2 = 8x + x2 Add '-8x' to each side of the equation. 8x + -8x + x2 = 8x + -8x + x2 Combine like terms: 8x + -8x = 0 0 + x2 = 8x + -8x + x2 x2 = 8x + -8x + x2 Combine like terms: 8x + -8x = 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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