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Simplifying ax2 + -1(2a + -3) * x + (a + 6) = 0 Reorder the terms: ax2 + -1(-3 + 2a) * x + (a + 6) = 0 Reorder the terms for easier multiplication: ax2 + -1x(-3 + 2a) + (a + 6) = 0 ax2 + (-3 * -1x + 2a * -1x) + (a + 6) = 0 Reorder the terms: ax2 + (-2ax + 3x) + (a + 6) = 0 ax2 + (-2ax + 3x) + (a + 6) = 0 Reorder the terms: ax2 + -2ax + 3x + (6 + a) = 0 Remove parenthesis around (6 + a) ax2 + -2ax + 3x + 6 + a = 0 Reorder the terms: 6 + a + -2ax + ax2 + 3x = 0 Solving 6 + a + -2ax + ax2 + 3x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + a + -2ax + ax2 + -6 + 3x = 0 + -6 Reorder the terms: 6 + -6 + a + -2ax + ax2 + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + a + -2ax + ax2 + 3x = 0 + -6 a + -2ax + ax2 + 3x = 0 + -6 Combine like terms: 0 + -6 = -6 a + -2ax + ax2 + 3x = -6 Add '-3x' to each side of the equation. a + -2ax + ax2 + 3x + -3x = -6 + -3x Combine like terms: 3x + -3x = 0 a + -2ax + ax2 + 0 = -6 + -3x a + -2ax + ax2 = -6 + -3x Reorder the terms: 6 + a + -2ax + ax2 + 3x = -6 + -3x + 6 + 3x Reorder the terms: 6 + a + -2ax + ax2 + 3x = -6 + 6 + -3x + 3x Combine like terms: -6 + 6 = 0 6 + a + -2ax + ax2 + 3x = 0 + -3x + 3x 6 + a + -2ax + ax2 + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 6 + a + -2ax + ax2 + 3x = 0 The solution to this equation could not be determined.
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