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Simplifying ax2 + bx + cf(1) = 2 Reorder the terms for easier multiplication: ax2 + bx + 1cf = 2 Solving ax2 + bx + 1cf = 2 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 + 1cf = 2 + -1bx Combine like terms: bx + -1bx = 0 ax2 + 0 + 1cf = 2 + -1bx ax2 + 1cf = 2 + -1bx Add '-1cf' to each side of the equation. ax2 + 1cf + -1cf = 2 + -1bx + -1cf Combine like terms: 1cf + -1cf = 0 ax2 + 0 = 2 + -1bx + -1cf ax2 = 2 + -1bx + -1cf Divide each side by 'x2'. a = 2x-2 + -1bx-1 + -1cfx-2 Simplifying a = 2x-2 + -1bx-1 + -1cfx-2 Reorder the terms: a = -1bx-1 + -1cfx-2 + 2x-2
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