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Simplifying (x + 2)(x + a) = x2 + 5x + b Reorder the terms: (2 + x)(x + a) = x2 + 5x + b Reorder the terms: (2 + x)(a + x) = x2 + 5x + b Multiply (2 + x) * (a + x) (2(a + x) + x(a + x)) = x2 + 5x + b ((a * 2 + x * 2) + x(a + x)) = x2 + 5x + b ((2a + 2x) + x(a + x)) = x2 + 5x + b (2a + 2x + (a * x + x * x)) = x2 + 5x + b (2a + 2x + (ax + x2)) = x2 + 5x + b Reorder the terms: (2a + ax + 2x + x2) = x2 + 5x + b (2a + ax + 2x + x2) = x2 + 5x + b Reorder the terms: 2a + ax + 2x + x2 = b + 5x + x2 Add '-1x2' to each side of the equation. 2a + ax + 2x + x2 + -1x2 = b + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2a + ax + 2x + 0 = b + 5x + x2 + -1x2 2a + ax + 2x = b + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2a + ax + 2x = b + 5x + 0 2a + ax + 2x = b + 5x Solving 2a + ax + 2x = b + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. 2a + ax + 2x + -2x = b + 5x + -2x Combine like terms: 2x + -2x = 0 2a + ax + 0 = b + 5x + -2x 2a + ax = b + 5x + -2x Combine like terms: 5x + -2x = 3x 2a + ax = b + 3x Reorder the terms: 2a + ax + -1b + -3x = b + -1b + 3x + -3x Combine like terms: b + -1b = 0 2a + ax + -1b + -3x = 0 + 3x + -3x 2a + ax + -1b + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 2a + ax + -1b + -3x = 0 The solution to this equation could not be determined.
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