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Simplifying 198120 + 1935.34x2 + 4.3681x4 = 0 Solving 198120 + 1935.34x2 + 4.3681x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4.3681 the coefficient of the squared term: Divide each side by '4.3681'. 45356.10448 + 443.062201x2 + x4 = 0 Move the constant term to the right: Add '-45356.10448' to each side of the equation. 45356.10448 + 443.062201x2 + -45356.10448 + x4 = 0 + -45356.10448 Reorder the terms: 45356.10448 + -45356.10448 + 443.062201x2 + x4 = 0 + -45356.10448 Combine like terms: 45356.10448 + -45356.10448 = 0.00000 0.00000 + 443.062201x2 + x4 = 0 + -45356.10448 443.062201x2 + x4 = 0 + -45356.10448 Combine like terms: 0 + -45356.10448 = -45356.10448 443.062201x2 + x4 = -45356.10448 The x term is 443.062201x2. Take half its coefficient (221.5311005). Square it (49076.02849) and add it to both sides. Add '49076.02849' to each side of the equation. 443.062201x2 + 49076.02849 + x4 = -45356.10448 + 49076.02849 Reorder the terms: 49076.02849 + 443.062201x2 + x4 = -45356.10448 + 49076.02849 Combine like terms: -45356.10448 + 49076.02849 = 3719.92401 49076.02849 + 443.062201x2 + x4 = 3719.92401 Factor a perfect square on the left side: (x2 + 221.5311005)(x2 + 221.5311005) = 3719.92401 Calculate the square root of the right side: 60.991179772 Break this problem into two subproblems by setting (x2 + 221.5311005) equal to 60.991179772 and -60.991179772.Subproblem 1
x2 + 221.5311005 = 60.991179772 Simplifying x2 + 221.5311005 = 60.991179772 Reorder the terms: 221.5311005 + x2 = 60.991179772 Solving 221.5311005 + x2 = 60.991179772 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-221.5311005' to each side of the equation. 221.5311005 + -221.5311005 + x2 = 60.991179772 + -221.5311005 Combine like terms: 221.5311005 + -221.5311005 = 0.0000000 0.0000000 + x2 = 60.991179772 + -221.5311005 x2 = 60.991179772 + -221.5311005 Combine like terms: 60.991179772 + -221.5311005 = -160.539920728 x2 = -160.539920728 Simplifying x2 = -160.539920728 Reorder the terms: 160.539920728 + x2 = -160.539920728 + 160.539920728 Combine like terms: -160.539920728 + 160.539920728 = 0.000000000 160.539920728 + x2 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.Subproblem 2
x2 + 221.5311005 = -60.991179772 Simplifying x2 + 221.5311005 = -60.991179772 Reorder the terms: 221.5311005 + x2 = -60.991179772 Solving 221.5311005 + x2 = -60.991179772 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-221.5311005' to each side of the equation. 221.5311005 + -221.5311005 + x2 = -60.991179772 + -221.5311005 Combine like terms: 221.5311005 + -221.5311005 = 0.0000000 0.0000000 + x2 = -60.991179772 + -221.5311005 x2 = -60.991179772 + -221.5311005 Combine like terms: -60.991179772 + -221.5311005 = -282.522280272 x2 = -282.522280272 Simplifying x2 = -282.522280272 Reorder the terms: 282.522280272 + x2 = -282.522280272 + 282.522280272 Combine like terms: -282.522280272 + 282.522280272 = 0.000000000 282.522280272 + x2 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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