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Simplifying 16x2 + 187x + 487 = 11x Reorder the terms: 487 + 187x + 16x2 = 11x Solving 487 + 187x + 16x2 = 11x Solving for variable 'x'. Reorder the terms: 487 + 187x + -11x + 16x2 = 11x + -11x Combine like terms: 187x + -11x = 176x 487 + 176x + 16x2 = 11x + -11x Combine like terms: 11x + -11x = 0 487 + 176x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 30.4375 + 11x + x2 = 0 Move the constant term to the right: Add '-30.4375' to each side of the equation. 30.4375 + 11x + -30.4375 + x2 = 0 + -30.4375 Reorder the terms: 30.4375 + -30.4375 + 11x + x2 = 0 + -30.4375 Combine like terms: 30.4375 + -30.4375 = 0.0000 0.0000 + 11x + x2 = 0 + -30.4375 11x + x2 = 0 + -30.4375 Combine like terms: 0 + -30.4375 = -30.4375 11x + x2 = -30.4375 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = -30.4375 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -30.4375 + 30.25 Combine like terms: -30.4375 + 30.25 = -0.1875 30.25 + 11x + x2 = -0.1875 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -0.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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