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Simplifying ax2 + 2(a + 1) * x + 2a + -1 = 0 Reorder the terms: ax2 + 2(1 + a) * x + 2a + -1 = 0 Reorder the terms for easier multiplication: ax2 + 2x(1 + a) + 2a + -1 = 0 ax2 + (1 * 2x + a * 2x) + 2a + -1 = 0 Reorder the terms: ax2 + (2ax + 2x) + 2a + -1 = 0 ax2 + (2ax + 2x) + 2a + -1 = 0 Reorder the terms: -1 + 2a + 2ax + ax2 + 2x = 0 Solving -1 + 2a + 2ax + ax2 + 2x = 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 + 2a + 2ax + ax2 + 1 + 2x = 0 + 1 Reorder the terms: -1 + 1 + 2a + 2ax + ax2 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2a + 2ax + ax2 + 2x = 0 + 1 2a + 2ax + ax2 + 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2a + 2ax + ax2 + 2x = 1 Add '-2x' to each side of the equation. 2a + 2ax + ax2 + 2x + -2x = 1 + -2x Combine like terms: 2x + -2x = 0 2a + 2ax + ax2 + 0 = 1 + -2x 2a + 2ax + ax2 = 1 + -2x Reorder the terms: -1 + 2a + 2ax + ax2 + 2x = 1 + -2x + -1 + 2x Reorder the terms: -1 + 2a + 2ax + ax2 + 2x = 1 + -1 + -2x + 2x Combine like terms: 1 + -1 = 0 -1 + 2a + 2ax + ax2 + 2x = 0 + -2x + 2x -1 + 2a + 2ax + ax2 + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 2a + 2ax + ax2 + 2x = 0 The solution to this equation could not be determined.
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