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Simplifying (3x + 1)(3x + 1) + -1q = 0 Reorder the terms: (1 + 3x)(3x + 1) + -1q = 0 Reorder the terms: (1 + 3x)(1 + 3x) + -1q = 0 Multiply (1 + 3x) * (1 + 3x) (1(1 + 3x) + 3x * (1 + 3x)) + -1q = 0 ((1 * 1 + 3x * 1) + 3x * (1 + 3x)) + -1q = 0 ((1 + 3x) + 3x * (1 + 3x)) + -1q = 0 (1 + 3x + (1 * 3x + 3x * 3x)) + -1q = 0 (1 + 3x + (3x + 9x2)) + -1q = 0 Combine like terms: 3x + 3x = 6x (1 + 6x + 9x2) + -1q = 0 Reorder the terms: 1 + -1q + 6x + 9x2 = 0 Solving 1 + -1q + 6x + 9x2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1q + 6x + -1 + 9x2 = 0 + -1 Reorder the terms: 1 + -1 + -1q + 6x + 9x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1q + 6x + 9x2 = 0 + -1 -1q + 6x + 9x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1q + 6x + 9x2 = -1 Add '-6x' to each side of the equation. -1q + 6x + -6x + 9x2 = -1 + -6x Combine like terms: 6x + -6x = 0 -1q + 0 + 9x2 = -1 + -6x -1q + 9x2 = -1 + -6x Add '-9x2' to each side of the equation. -1q + 9x2 + -9x2 = -1 + -6x + -9x2 Combine like terms: 9x2 + -9x2 = 0 -1q + 0 = -1 + -6x + -9x2 -1q = -1 + -6x + -9x2 Divide each side by '-1'. q = 1 + 6x + 9x2 Simplifying q = 1 + 6x + 9x2
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