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Simplifying x2 + ax + b = x2 + -14x + -49 Reorder the terms: ax + b + x2 = x2 + -14x + -49 Reorder the terms: ax + b + x2 = -49 + -14x + x2 Add '-1x2' to each side of the equation. ax + b + x2 + -1x2 = -49 + -14x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 ax + b + 0 = -49 + -14x + x2 + -1x2 ax + b = -49 + -14x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 ax + b = -49 + -14x + 0 ax + b = -49 + -14x Solving ax + b = -49 + -14x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. ax + b + -1b = -49 + -1b + -14x Combine like terms: b + -1b = 0 ax + 0 = -49 + -1b + -14x ax = -49 + -1b + -14x Divide each side by 'x'. a = -49x-1 + -1bx-1 + -14 Simplifying a = -49x-1 + -1bx-1 + -14 Reorder the terms: a = -14 + -1bx-1 + -49x-1
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