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Simplifying (x + 3)(x + 4) = x2 + 7x + 12 Reorder the terms: (3 + x)(x + 4) = x2 + 7x + 12 Reorder the terms: (3 + x)(4 + x) = x2 + 7x + 12 Multiply (3 + x) * (4 + x) (3(4 + x) + x(4 + x)) = x2 + 7x + 12 ((4 * 3 + x * 3) + x(4 + x)) = x2 + 7x + 12 ((12 + 3x) + x(4 + x)) = x2 + 7x + 12 (12 + 3x + (4 * x + x * x)) = x2 + 7x + 12 (12 + 3x + (4x + x2)) = x2 + 7x + 12 Combine like terms: 3x + 4x = 7x (12 + 7x + x2) = x2 + 7x + 12 Reorder the terms: 12 + 7x + x2 = 12 + 7x + x2 Add '-12' to each side of the equation. 12 + 7x + -12 + x2 = 12 + 7x + -12 + x2 Reorder the terms: 12 + -12 + 7x + x2 = 12 + 7x + -12 + x2 Combine like terms: 12 + -12 = 0 0 + 7x + x2 = 12 + 7x + -12 + x2 7x + x2 = 12 + 7x + -12 + x2 Reorder the terms: 7x + x2 = 12 + -12 + 7x + x2 Combine like terms: 12 + -12 = 0 7x + x2 = 0 + 7x + x2 7x + x2 = 7x + x2 Add '-7x' to each side of the equation. 7x + -7x + x2 = 7x + -7x + x2 Combine like terms: 7x + -7x = 0 0 + x2 = 7x + -7x + x2 x2 = 7x + -7x + x2 Combine like terms: 7x + -7x = 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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