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Simplifying x2 + ax + b = x2 + -14x + 14 + -1a Reorder the terms: ax + b + x2 = x2 + -14x + 14 + -1a Reorder the terms: ax + b + x2 = 14 + -1a + -14x + x2 Add '-1x2' to each side of the equation. ax + b + x2 + -1x2 = 14 + -1a + -14x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 ax + b + 0 = 14 + -1a + -14x + x2 + -1x2 ax + b = 14 + -1a + -14x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 ax + b = 14 + -1a + -14x + 0 ax + b = 14 + -1a + -14x Solving ax + b = 14 + -1a + -14x 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 + a + b = 14 + -1a + a + -14x Reorder the terms: a + ax + b = 14 + -1a + a + -14x Combine like terms: -1a + a = 0 a + ax + b = 14 + 0 + -14x a + ax + b = 14 + -14x Add '-1b' to each side of the equation. a + ax + b + -1b = 14 + -1b + -14x Combine like terms: b + -1b = 0 a + ax + 0 = 14 + -1b + -14x a + ax = 14 + -1b + -14x Reorder the terms: -14 + a + ax + b + 14x = 14 + -1b + -14x + -14 + b + 14x Reorder the terms: -14 + a + ax + b + 14x = 14 + -14 + -1b + b + -14x + 14x Combine like terms: 14 + -14 = 0 -14 + a + ax + b + 14x = 0 + -1b + b + -14x + 14x -14 + a + ax + b + 14x = -1b + b + -14x + 14x Combine like terms: -1b + b = 0 -14 + a + ax + b + 14x = 0 + -14x + 14x -14 + a + ax + b + 14x = -14x + 14x Combine like terms: -14x + 14x = 0 -14 + a + ax + b + 14x = 0 The solution to this equation could not be determined.
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