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