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Simplifying (4x + 11)(4x + -11) = 0 Reorder the terms: (11 + 4x)(4x + -11) = 0 Reorder the terms: (11 + 4x)(-11 + 4x) = 0 Multiply (11 + 4x) * (-11 + 4x) (11(-11 + 4x) + 4x * (-11 + 4x)) = 0 ((-11 * 11 + 4x * 11) + 4x * (-11 + 4x)) = 0 ((-121 + 44x) + 4x * (-11 + 4x)) = 0 (-121 + 44x + (-11 * 4x + 4x * 4x)) = 0 (-121 + 44x + (-44x + 16x2)) = 0 Combine like terms: 44x + -44x = 0 (-121 + 0 + 16x2) = 0 (-121 + 16x2) = 0 Solving -121 + 16x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '121' to each side of the equation. -121 + 121 + 16x2 = 0 + 121 Combine like terms: -121 + 121 = 0 0 + 16x2 = 0 + 121 16x2 = 0 + 121 Combine like terms: 0 + 121 = 121 16x2 = 121 Divide each side by '16'. x2 = 7.5625 Simplifying x2 = 7.5625 Take the square root of each side: x = {-2.75, 2.75}
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