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Simplifying (x + 2)(2x + 3) = 2x2 + 7x + 6 Reorder the terms: (2 + x)(2x + 3) = 2x2 + 7x + 6 Reorder the terms: (2 + x)(3 + 2x) = 2x2 + 7x + 6 Multiply (2 + x) * (3 + 2x) (2(3 + 2x) + x(3 + 2x)) = 2x2 + 7x + 6 ((3 * 2 + 2x * 2) + x(3 + 2x)) = 2x2 + 7x + 6 ((6 + 4x) + x(3 + 2x)) = 2x2 + 7x + 6 (6 + 4x + (3 * x + 2x * x)) = 2x2 + 7x + 6 (6 + 4x + (3x + 2x2)) = 2x2 + 7x + 6 Combine like terms: 4x + 3x = 7x (6 + 7x + 2x2) = 2x2 + 7x + 6 Reorder the terms: 6 + 7x + 2x2 = 6 + 7x + 2x2 Add '-6' to each side of the equation. 6 + 7x + -6 + 2x2 = 6 + 7x + -6 + 2x2 Reorder the terms: 6 + -6 + 7x + 2x2 = 6 + 7x + -6 + 2x2 Combine like terms: 6 + -6 = 0 0 + 7x + 2x2 = 6 + 7x + -6 + 2x2 7x + 2x2 = 6 + 7x + -6 + 2x2 Reorder the terms: 7x + 2x2 = 6 + -6 + 7x + 2x2 Combine like terms: 6 + -6 = 0 7x + 2x2 = 0 + 7x + 2x2 7x + 2x2 = 7x + 2x2 Add '-7x' to each side of the equation. 7x + -7x + 2x2 = 7x + -7x + 2x2 Combine like terms: 7x + -7x = 0 0 + 2x2 = 7x + -7x + 2x2 2x2 = 7x + -7x + 2x2 Combine like terms: 7x + -7x = 0 2x2 = 0 + 2x2 2x2 = 2x2 Add '-2x2' to each side of the equation. 2x2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 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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