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