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Simplifying (5x + 6)(5x + -6) = 0 Reorder the terms: (6 + 5x)(5x + -6) = 0 Reorder the terms: (6 + 5x)(-6 + 5x) = 0 Multiply (6 + 5x) * (-6 + 5x) (6(-6 + 5x) + 5x * (-6 + 5x)) = 0 ((-6 * 6 + 5x * 6) + 5x * (-6 + 5x)) = 0 ((-36 + 30x) + 5x * (-6 + 5x)) = 0 (-36 + 30x + (-6 * 5x + 5x * 5x)) = 0 (-36 + 30x + (-30x + 25x2)) = 0 Combine like terms: 30x + -30x = 0 (-36 + 0 + 25x2) = 0 (-36 + 25x2) = 0 Solving -36 + 25x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 25x2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 25x2 = 0 + 36 25x2 = 0 + 36 Combine like terms: 0 + 36 = 36 25x2 = 36 Divide each side by '25'. x2 = 1.44 Simplifying x2 = 1.44 Take the square root of each side: x = {-1.2, 1.2}
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