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Simplifying 5x + 2 = -1.8x2 + -11x + -220 Reorder the terms: 2 + 5x = -1.8x2 + -11x + -220 Reorder the terms: 2 + 5x = -220 + -11x + -1.8x2 Solving 2 + 5x = -220 + -11x + -1.8x2 Solving for variable 'x'. Reorder the terms: 2 + 220 + 5x + 11x + 1.8x2 = -220 + -11x + -1.8x2 + 220 + 11x + 1.8x2 Combine like terms: 2 + 220 = 222 222 + 5x + 11x + 1.8x2 = -220 + -11x + -1.8x2 + 220 + 11x + 1.8x2 Combine like terms: 5x + 11x = 16x 222 + 16x + 1.8x2 = -220 + -11x + -1.8x2 + 220 + 11x + 1.8x2 Reorder the terms: 222 + 16x + 1.8x2 = -220 + 220 + -11x + 11x + -1.8x2 + 1.8x2 Combine like terms: -220 + 220 = 0 222 + 16x + 1.8x2 = 0 + -11x + 11x + -1.8x2 + 1.8x2 222 + 16x + 1.8x2 = -11x + 11x + -1.8x2 + 1.8x2 Combine like terms: -11x + 11x = 0 222 + 16x + 1.8x2 = 0 + -1.8x2 + 1.8x2 222 + 16x + 1.8x2 = -1.8x2 + 1.8x2 Combine like terms: -1.8x2 + 1.8x2 = 0.0 222 + 16x + 1.8x2 = 0.0 Begin completing the square. Divide all terms by 1.8 the coefficient of the squared term: Divide each side by '1.8'. 123.3333333 + 8.888888889x + x2 = 0 Move the constant term to the right: Add '-123.3333333' to each side of the equation. 123.3333333 + 8.888888889x + -123.3333333 + x2 = 0 + -123.3333333 Reorder the terms: 123.3333333 + -123.3333333 + 8.888888889x + x2 = 0 + -123.3333333 Combine like terms: 123.3333333 + -123.3333333 = 0.0000000 0.0000000 + 8.888888889x + x2 = 0 + -123.3333333 8.888888889x + x2 = 0 + -123.3333333 Combine like terms: 0 + -123.3333333 = -123.3333333 8.888888889x + x2 = -123.3333333 The x term is 8.888888889x. Take half its coefficient (4.444444445). Square it (19.75308642) and add it to both sides. Add '19.75308642' to each side of the equation. 8.888888889x + 19.75308642 + x2 = -123.3333333 + 19.75308642 Reorder the terms: 19.75308642 + 8.888888889x + x2 = -123.3333333 + 19.75308642 Combine like terms: -123.3333333 + 19.75308642 = -103.58024688 19.75308642 + 8.888888889x + x2 = -103.58024688 Factor a perfect square on the left side: (x + 4.444444445)(x + 4.444444445) = -103.58024688 Can't calculate square root of the right side. The solution to this equation could not be determined.
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