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Simplifying -326554810218996 + -88071098.44x2 + x4 = 0 Solving -326554810218996 + -88071098.44x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '326554810218996' to each side of the equation. -326554810218996 + -88071098.44x2 + 326554810218996 + x4 = 0 + 326554810218996 Reorder the terms: -326554810218996 + 326554810218996 + -88071098.44x2 + x4 = 0 + 326554810218996 Combine like terms: -326554810218996 + 326554810218996 = 0 0 + -88071098.44x2 + x4 = 0 + 326554810218996 -88071098.44x2 + x4 = 0 + 326554810218996 Combine like terms: 0 + 326554810218996 = 326554810218996 -88071098.44x2 + x4 = 326554810218996 The x term is -88071098.44x2. Take half its coefficient (-44035549.22). Square it (1939129595000000) and add it to both sides. Add '1939129595000000' to each side of the equation. -88071098.44x2 + 1939129595000000 + x4 = 326554810218996 + 1939129595000000 Reorder the terms: 1939129595000000 + -88071098.44x2 + x4 = 326554810218996 + 1939129595000000 Combine like terms: 326554810218996 + 1939129595000000 = 2265684405218996 1939129595000000 + -88071098.44x2 + x4 = 2265684405218996 Factor a perfect square on the left side: (x2 + -44035549.22)(x2 + -44035549.22) = 2265684405218996 Calculate the square root of the right side: 47599205.930550942 Break this problem into two subproblems by setting (x2 + -44035549.22) equal to 47599205.930550942 and -47599205.930550942.Subproblem 1
x2 + -44035549.22 = 47599205.930550942 Simplifying x2 + -44035549.22 = 47599205.930550942 Reorder the terms: -44035549.22 + x2 = 47599205.930550942 Solving -44035549.22 + x2 = 47599205.930550942 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44035549.22' to each side of the equation. -44035549.22 + 44035549.22 + x2 = 47599205.930550942 + 44035549.22 Combine like terms: -44035549.22 + 44035549.22 = 0.00 0.00 + x2 = 47599205.930550942 + 44035549.22 x2 = 47599205.930550942 + 44035549.22 Combine like terms: 47599205.930550942 + 44035549.22 = 91634755.150550942 x2 = 91634755.150550942 Simplifying x2 = 91634755.150550942 Take the square root of each side: x = {-9572.604407921, 9572.604407921}Subproblem 2
x2 + -44035549.22 = -47599205.930550942 Simplifying x2 + -44035549.22 = -47599205.930550942 Reorder the terms: -44035549.22 + x2 = -47599205.930550942 Solving -44035549.22 + x2 = -47599205.930550942 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44035549.22' to each side of the equation. -44035549.22 + 44035549.22 + x2 = -47599205.930550942 + 44035549.22 Combine like terms: -44035549.22 + 44035549.22 = 0.00 0.00 + x2 = -47599205.930550942 + 44035549.22 x2 = -47599205.930550942 + 44035549.22 Combine like terms: -47599205.930550942 + 44035549.22 = -3563656.710550942 x2 = -3563656.710550942 Simplifying x2 = -3563656.710550942 Reorder the terms: 3563656.710550942 + x2 = -3563656.710550942 + 3563656.710550942 Combine like terms: -3563656.710550942 + 3563656.710550942 = 0.000000000 3563656.710550942 + 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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