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