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Simplifying 13x2 + a(x + 1) + -2(x + 3)(x + 2) = 0 Reorder the terms: 13x2 + a(1 + x) + -2(x + 3)(x + 2) = 0 13x2 + (1 * a + x * a) + -2(x + 3)(x + 2) = 0 13x2 + (1a + ax) + -2(x + 3)(x + 2) = 0 Reorder the terms: 13x2 + 1a + ax + -2(3 + x)(x + 2) = 0 Reorder the terms: 13x2 + 1a + ax + -2(3 + x)(2 + x) = 0 Multiply (3 + x) * (2 + x) 13x2 + 1a + ax + -2(3(2 + x) + x(2 + x)) = 0 13x2 + 1a + ax + -2((2 * 3 + x * 3) + x(2 + x)) = 0 13x2 + 1a + ax + -2((6 + 3x) + x(2 + x)) = 0 13x2 + 1a + ax + -2(6 + 3x + (2 * x + x * x)) = 0 13x2 + 1a + ax + -2(6 + 3x + (2x + x2)) = 0 Combine like terms: 3x + 2x = 5x 13x2 + 1a + ax + -2(6 + 5x + x2) = 0 13x2 + 1a + ax + (6 * -2 + 5x * -2 + x2 * -2) = 0 13x2 + 1a + ax + (-12 + -10x + -2x2) = 0 Reorder the terms: -12 + 1a + ax + -10x + 13x2 + -2x2 = 0 Combine like terms: 13x2 + -2x2 = 11x2 -12 + 1a + ax + -10x + 11x2 = 0 Solving -12 + 1a + ax + -10x + 11x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 1a + ax + -10x + 12 + 11x2 = 0 + 12 Reorder the terms: -12 + 12 + 1a + ax + -10x + 11x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1a + ax + -10x + 11x2 = 0 + 12 1a + ax + -10x + 11x2 = 0 + 12 Combine like terms: 0 + 12 = 12 1a + ax + -10x + 11x2 = 12 Add '10x' to each side of the equation. 1a + ax + -10x + 10x + 11x2 = 12 + 10x Combine like terms: -10x + 10x = 0 1a + ax + 0 + 11x2 = 12 + 10x 1a + ax + 11x2 = 12 + 10x Add '-11x2' to each side of the equation. 1a + ax + 11x2 + -11x2 = 12 + 10x + -11x2 Combine like terms: 11x2 + -11x2 = 0 1a + ax + 0 = 12 + 10x + -11x2 1a + ax = 12 + 10x + -11x2 Reorder the terms: -12 + 1a + ax + -10x + 11x2 = 12 + 10x + -11x2 + -12 + -10x + 11x2 Reorder the terms: -12 + 1a + ax + -10x + 11x2 = 12 + -12 + 10x + -10x + -11x2 + 11x2 Combine like terms: 12 + -12 = 0 -12 + 1a + ax + -10x + 11x2 = 0 + 10x + -10x + -11x2 + 11x2 -12 + 1a + ax + -10x + 11x2 = 10x + -10x + -11x2 + 11x2 Combine like terms: 10x + -10x = 0 -12 + 1a + ax + -10x + 11x2 = 0 + -11x2 + 11x2 -12 + 1a + ax + -10x + 11x2 = -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 -12 + 1a + ax + -10x + 11x2 = 0 The solution to this equation could not be determined.
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