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Simplifying (6x + -1)(6x + 1) + -1(12x + -5)(3x + 1) = 0 Reorder the terms: (-1 + 6x)(6x + 1) + -1(12x + -5)(3x + 1) = 0 Reorder the terms: (-1 + 6x)(1 + 6x) + -1(12x + -5)(3x + 1) = 0 Multiply (-1 + 6x) * (1 + 6x) (-1(1 + 6x) + 6x * (1 + 6x)) + -1(12x + -5)(3x + 1) = 0 ((1 * -1 + 6x * -1) + 6x * (1 + 6x)) + -1(12x + -5)(3x + 1) = 0 ((-1 + -6x) + 6x * (1 + 6x)) + -1(12x + -5)(3x + 1) = 0 (-1 + -6x + (1 * 6x + 6x * 6x)) + -1(12x + -5)(3x + 1) = 0 (-1 + -6x + (6x + 36x2)) + -1(12x + -5)(3x + 1) = 0 Combine like terms: -6x + 6x = 0 (-1 + 0 + 36x2) + -1(12x + -5)(3x + 1) = 0 (-1 + 36x2) + -1(12x + -5)(3x + 1) = 0 Reorder the terms: -1 + 36x2 + -1(-5 + 12x)(3x + 1) = 0 Reorder the terms: -1 + 36x2 + -1(-5 + 12x)(1 + 3x) = 0 Multiply (-5 + 12x) * (1 + 3x) -1 + 36x2 + -1(-5(1 + 3x) + 12x * (1 + 3x)) = 0 -1 + 36x2 + -1((1 * -5 + 3x * -5) + 12x * (1 + 3x)) = 0 -1 + 36x2 + -1((-5 + -15x) + 12x * (1 + 3x)) = 0 -1 + 36x2 + -1(-5 + -15x + (1 * 12x + 3x * 12x)) = 0 -1 + 36x2 + -1(-5 + -15x + (12x + 36x2)) = 0 Combine like terms: -15x + 12x = -3x -1 + 36x2 + -1(-5 + -3x + 36x2) = 0 -1 + 36x2 + (-5 * -1 + -3x * -1 + 36x2 * -1) = 0 -1 + 36x2 + (5 + 3x + -36x2) = 0 Reorder the terms: -1 + 5 + 3x + 36x2 + -36x2 = 0 Combine like terms: -1 + 5 = 4 4 + 3x + 36x2 + -36x2 = 0 Combine like terms: 36x2 + -36x2 = 0 4 + 3x + 0 = 0 4 + 3x = 0 Solving 4 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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