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Simplifying ax2 + bx + c = 10 Solving ax2 + bx + c = 10 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 = 10 + -1bx Combine like terms: bx + -1bx = 0 ax2 + 0 + c = 10 + -1bx ax2 + c = 10 + -1bx Add '-1c' to each side of the equation. ax2 + c + -1c = 10 + -1bx + -1c Combine like terms: c + -1c = 0 ax2 + 0 = 10 + -1bx + -1c ax2 = 10 + -1bx + -1c Divide each side by 'x2'. a = 10x-2 + -1bx-1 + -1cx-2 Simplifying a = 10x-2 + -1bx-1 + -1cx-2 Reorder the terms: a = -1bx-1 + -1cx-2 + 10x-2
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