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Simplifying 16x2 + 77x + 100 = 17 + 6x Reorder the terms: 100 + 77x + 16x2 = 17 + 6x Solving 100 + 77x + 16x2 = 17 + 6x Solving for variable 'x'. Reorder the terms: 100 + -17 + 77x + -6x + 16x2 = 17 + 6x + -17 + -6x Combine like terms: 100 + -17 = 83 83 + 77x + -6x + 16x2 = 17 + 6x + -17 + -6x Combine like terms: 77x + -6x = 71x 83 + 71x + 16x2 = 17 + 6x + -17 + -6x Reorder the terms: 83 + 71x + 16x2 = 17 + -17 + 6x + -6x Combine like terms: 17 + -17 = 0 83 + 71x + 16x2 = 0 + 6x + -6x 83 + 71x + 16x2 = 6x + -6x Combine like terms: 6x + -6x = 0 83 + 71x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 5.1875 + 4.4375x + x2 = 0 Move the constant term to the right: Add '-5.1875' to each side of the equation. 5.1875 + 4.4375x + -5.1875 + x2 = 0 + -5.1875 Reorder the terms: 5.1875 + -5.1875 + 4.4375x + x2 = 0 + -5.1875 Combine like terms: 5.1875 + -5.1875 = 0.0000 0.0000 + 4.4375x + x2 = 0 + -5.1875 4.4375x + x2 = 0 + -5.1875 Combine like terms: 0 + -5.1875 = -5.1875 4.4375x + x2 = -5.1875 The x term is 4.4375x. Take half its coefficient (2.21875). Square it (4.922851563) and add it to both sides. Add '4.922851563' to each side of the equation. 4.4375x + 4.922851563 + x2 = -5.1875 + 4.922851563 Reorder the terms: 4.922851563 + 4.4375x + x2 = -5.1875 + 4.922851563 Combine like terms: -5.1875 + 4.922851563 = -0.264648437 4.922851563 + 4.4375x + x2 = -0.264648437 Factor a perfect square on the left side: (x + 2.21875)(x + 2.21875) = -0.264648437 Can't calculate square root of the right side. The solution to this equation could not be determined.
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