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Simplifying (2 + x)(2 + 3x) = 4 + 8x + 3x2 Multiply (2 + x) * (2 + 3x) (2(2 + 3x) + x(2 + 3x)) = 4 + 8x + 3x2 ((2 * 2 + 3x * 2) + x(2 + 3x)) = 4 + 8x + 3x2 ((4 + 6x) + x(2 + 3x)) = 4 + 8x + 3x2 (4 + 6x + (2 * x + 3x * x)) = 4 + 8x + 3x2 (4 + 6x + (2x + 3x2)) = 4 + 8x + 3x2 Combine like terms: 6x + 2x = 8x (4 + 8x + 3x2) = 4 + 8x + 3x2 Add '-4' to each side of the equation. 4 + 8x + -4 + 3x2 = 4 + 8x + -4 + 3x2 Reorder the terms: 4 + -4 + 8x + 3x2 = 4 + 8x + -4 + 3x2 Combine like terms: 4 + -4 = 0 0 + 8x + 3x2 = 4 + 8x + -4 + 3x2 8x + 3x2 = 4 + 8x + -4 + 3x2 Reorder the terms: 8x + 3x2 = 4 + -4 + 8x + 3x2 Combine like terms: 4 + -4 = 0 8x + 3x2 = 0 + 8x + 3x2 8x + 3x2 = 8x + 3x2 Add '-8x' to each side of the equation. 8x + -8x + 3x2 = 8x + -8x + 3x2 Combine like terms: 8x + -8x = 0 0 + 3x2 = 8x + -8x + 3x2 3x2 = 8x + -8x + 3x2 Combine like terms: 8x + -8x = 0 3x2 = 0 + 3x2 3x2 = 3x2 Add '-3x2' to each side of the equation. 3x2 + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 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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