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Simplifying (6X + 3)(6X + -3) = 0 Reorder the terms: (3 + 6X)(6X + -3) = 0 Reorder the terms: (3 + 6X)(-3 + 6X) = 0 Multiply (3 + 6X) * (-3 + 6X) (3(-3 + 6X) + 6X * (-3 + 6X)) = 0 ((-3 * 3 + 6X * 3) + 6X * (-3 + 6X)) = 0 ((-9 + 18X) + 6X * (-3 + 6X)) = 0 (-9 + 18X + (-3 * 6X + 6X * 6X)) = 0 (-9 + 18X + (-18X + 36X2)) = 0 Combine like terms: 18X + -18X = 0 (-9 + 0 + 36X2) = 0 (-9 + 36X2) = 0 Solving -9 + 36X2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 36X2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 36X2 = 0 + 9 36X2 = 0 + 9 Combine like terms: 0 + 9 = 9 36X2 = 9 Divide each side by '36'. X2 = 0.25 Simplifying X2 = 0.25 Take the square root of each side: X = {-0.5, 0.5}
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