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Simplifying x2 + ax + b = (x + -7) + -1a Reorder the terms: ax + b + x2 = (x + -7) + -1a Reorder the terms: ax + b + x2 = (-7 + x) + -1a Remove parenthesis around (-7 + x) ax + b + x2 = -7 + x + -1a Reorder the terms: ax + b + x2 = -7 + -1a + x Solving ax + b + x2 = -7 + -1a + x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. ax + b + a + x2 = -7 + -1a + a + x Reorder the terms: a + ax + b + x2 = -7 + -1a + a + x Combine like terms: -1a + a = 0 a + ax + b + x2 = -7 + 0 + x a + ax + b + x2 = -7 + x Add '-1b' to each side of the equation. a + ax + b + -1b + x2 = -7 + -1b + x Combine like terms: b + -1b = 0 a + ax + 0 + x2 = -7 + -1b + x a + ax + x2 = -7 + -1b + x Add '-1x2' to each side of the equation. a + ax + x2 + -1x2 = -7 + -1b + x + -1x2 Combine like terms: x2 + -1x2 = 0 a + ax + 0 = -7 + -1b + x + -1x2 a + ax = -7 + -1b + x + -1x2 Reorder the terms: 7 + a + ax + b + -1x + x2 = -7 + -1b + x + -1x2 + 7 + b + -1x + x2 Reorder the terms: 7 + a + ax + b + -1x + x2 = -7 + 7 + -1b + b + x + -1x + -1x2 + x2 Combine like terms: -7 + 7 = 0 7 + a + ax + b + -1x + x2 = 0 + -1b + b + x + -1x + -1x2 + x2 7 + a + ax + b + -1x + x2 = -1b + b + x + -1x + -1x2 + x2 Combine like terms: -1b + b = 0 7 + a + ax + b + -1x + x2 = 0 + x + -1x + -1x2 + x2 7 + a + ax + b + -1x + x2 = x + -1x + -1x2 + x2 Combine like terms: x + -1x = 0 7 + a + ax + b + -1x + x2 = 0 + -1x2 + x2 7 + a + ax + b + -1x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 7 + a + ax + b + -1x + x2 = 0 The solution to this equation could not be determined.
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