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Simplifying (6X + 5)(6X + -5) = 0 Reorder the terms: (5 + 6X)(6X + -5) = 0 Reorder the terms: (5 + 6X)(-5 + 6X) = 0 Multiply (5 + 6X) * (-5 + 6X) (5(-5 + 6X) + 6X * (-5 + 6X)) = 0 ((-5 * 5 + 6X * 5) + 6X * (-5 + 6X)) = 0 ((-25 + 30X) + 6X * (-5 + 6X)) = 0 (-25 + 30X + (-5 * 6X + 6X * 6X)) = 0 (-25 + 30X + (-30X + 36X2)) = 0 Combine like terms: 30X + -30X = 0 (-25 + 0 + 36X2) = 0 (-25 + 36X2) = 0 Solving -25 + 36X2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 36X2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 36X2 = 0 + 25 36X2 = 0 + 25 Combine like terms: 0 + 25 = 25 36X2 = 25 Divide each side by '36'. X2 = 0.6944444444 Simplifying X2 = 0.6944444444 Take the square root of each side: X = {-0.833333333, 0.833333333}
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