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Simplifying 6(1 + -3x)(1 + 3x) = 0 Multiply (1 + -3x) * (1 + 3x) 6(1(1 + 3x) + -3x * (1 + 3x)) = 0 6((1 * 1 + 3x * 1) + -3x * (1 + 3x)) = 0 6((1 + 3x) + -3x * (1 + 3x)) = 0 6(1 + 3x + (1 * -3x + 3x * -3x)) = 0 6(1 + 3x + (-3x + -9x2)) = 0 Combine like terms: 3x + -3x = 0 6(1 + 0 + -9x2) = 0 6(1 + -9x2) = 0 (1 * 6 + -9x2 * 6) = 0 (6 + -54x2) = 0 Solving 6 + -54x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -54x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -54x2 = 0 + -6 -54x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -54x2 = -6 Divide each side by '-54'. x2 = 0.1111111111 Simplifying x2 = 0.1111111111 Take the square root of each side: x = {-0.333333333, 0.333333333}
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