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Simplifying 2ax2 + -4(a + 1) * x + 4a + 1 = 0 Reorder the terms: 2ax2 + -4(1 + a) * x + 4a + 1 = 0 Reorder the terms for easier multiplication: 2ax2 + -4x(1 + a) + 4a + 1 = 0 2ax2 + (1 * -4x + a * -4x) + 4a + 1 = 0 Reorder the terms: 2ax2 + (-4ax + -4x) + 4a + 1 = 0 2ax2 + (-4ax + -4x) + 4a + 1 = 0 Reorder the terms: 1 + 4a + -4ax + 2ax2 + -4x = 0 Solving 1 + 4a + -4ax + 2ax2 + -4x = 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 + 4a + -4ax + 2ax2 + -1 + -4x = 0 + -1 Reorder the terms: 1 + -1 + 4a + -4ax + 2ax2 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a + -4ax + 2ax2 + -4x = 0 + -1 4a + -4ax + 2ax2 + -4x = 0 + -1 Combine like terms: 0 + -1 = -1 4a + -4ax + 2ax2 + -4x = -1 Add '4x' to each side of the equation. 4a + -4ax + 2ax2 + -4x + 4x = -1 + 4x Combine like terms: -4x + 4x = 0 4a + -4ax + 2ax2 + 0 = -1 + 4x 4a + -4ax + 2ax2 = -1 + 4x Reorder the terms: 1 + 4a + -4ax + 2ax2 + -4x = -1 + 4x + 1 + -4x Reorder the terms: 1 + 4a + -4ax + 2ax2 + -4x = -1 + 1 + 4x + -4x Combine like terms: -1 + 1 = 0 1 + 4a + -4ax + 2ax2 + -4x = 0 + 4x + -4x 1 + 4a + -4ax + 2ax2 + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 1 + 4a + -4ax + 2ax2 + -4x = 0 The solution to this equation could not be determined.
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