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Simplifying x2 + ax + b = (x2 + -49) + -1a Reorder the terms: ax + b + x2 = (x2 + -49) + -1a Reorder the terms: ax + b + x2 = (-49 + x2) + -1a Remove parenthesis around (-49 + x2) ax + b + x2 = -49 + x2 + -1a Reorder the terms: ax + b + x2 = -49 + -1a + x2 Add '-1x2' to each side of the equation. ax + b + x2 + -1x2 = -49 + -1a + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 ax + b + 0 = -49 + -1a + x2 + -1x2 ax + b = -49 + -1a + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 ax + b = -49 + -1a + 0 ax + b = -49 + -1a Solving ax + b = -49 + -1a 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 = -49 + -1a + a Reorder the terms: a + ax + b = -49 + -1a + a Combine like terms: -1a + a = 0 a + ax + b = -49 + 0 a + ax + b = -49 Add '-1b' to each side of the equation. a + ax + b + -1b = -49 + -1b Combine like terms: b + -1b = 0 a + ax + 0 = -49 + -1b a + ax = -49 + -1b Reorder the terms: 49 + a + ax + b = -49 + -1b + 49 + b Reorder the terms: 49 + a + ax + b = -49 + 49 + -1b + b Combine like terms: -49 + 49 = 0 49 + a + ax + b = 0 + -1b + b 49 + a + ax + b = -1b + b Combine like terms: -1b + b = 0 49 + a + ax + b = 0 The solution to this equation could not be determined.
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