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Simplifying x = 25.8x2 + -24x + 250 Reorder the terms: x = 250 + -24x + 25.8x2 Solving x = 250 + -24x + 25.8x2 Solving for variable 'x'. Reorder the terms: -250 + x + 24x + -25.8x2 = 250 + -24x + 25.8x2 + -250 + 24x + -25.8x2 Combine like terms: x + 24x = 25x -250 + 25x + -25.8x2 = 250 + -24x + 25.8x2 + -250 + 24x + -25.8x2 Reorder the terms: -250 + 25x + -25.8x2 = 250 + -250 + -24x + 24x + 25.8x2 + -25.8x2 Combine like terms: 250 + -250 = 0 -250 + 25x + -25.8x2 = 0 + -24x + 24x + 25.8x2 + -25.8x2 -250 + 25x + -25.8x2 = -24x + 24x + 25.8x2 + -25.8x2 Combine like terms: -24x + 24x = 0 -250 + 25x + -25.8x2 = 0 + 25.8x2 + -25.8x2 -250 + 25x + -25.8x2 = 25.8x2 + -25.8x2 Combine like terms: 25.8x2 + -25.8x2 = 0.0 -250 + 25x + -25.8x2 = 0.0 Begin completing the square. Divide all terms by -25.8 the coefficient of the squared term: Divide each side by '-25.8'. 9.689922481 + -0.9689922481x + x2 = 0 Move the constant term to the right: Add '-9.689922481' to each side of the equation. 9.689922481 + -0.9689922481x + -9.689922481 + x2 = 0 + -9.689922481 Reorder the terms: 9.689922481 + -9.689922481 + -0.9689922481x + x2 = 0 + -9.689922481 Combine like terms: 9.689922481 + -9.689922481 = 0.000000000 0.000000000 + -0.9689922481x + x2 = 0 + -9.689922481 -0.9689922481x + x2 = 0 + -9.689922481 Combine like terms: 0 + -9.689922481 = -9.689922481 -0.9689922481x + x2 = -9.689922481 The x term is -0.9689922481x. Take half its coefficient (-0.4844961241). Square it (0.2347364943) and add it to both sides. Add '0.2347364943' to each side of the equation. -0.9689922481x + 0.2347364943 + x2 = -9.689922481 + 0.2347364943 Reorder the terms: 0.2347364943 + -0.9689922481x + x2 = -9.689922481 + 0.2347364943 Combine like terms: -9.689922481 + 0.2347364943 = -9.4551859867 0.2347364943 + -0.9689922481x + x2 = -9.4551859867 Factor a perfect square on the left side: (x + -0.4844961241)(x + -0.4844961241) = -9.4551859867 Can't calculate square root of the right side. The solution to this equation could not be determined.
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