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Simplifying ax2 + bx + c = 0 Solving ax2 + bx + c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bx' to each side of the equation. ax2 + bx + -1bx + c = 0 + -1bx Combine like terms: bx + -1bx = 0 ax2 + 0 + c = 0 + -1bx ax2 + c = 0 + -1bx Remove the zero: ax2 + c = -1bx Add '-1c' to each side of the equation. ax2 + c + -1c = -1bx + -1c Combine like terms: c + -1c = 0 ax2 + 0 = -1bx + -1c ax2 = -1bx + -1c Divide each side by 'x2'. a = -1bx-1 + -1cx-2 Simplifying a = -1bx-1 + -1cx-2
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