0.000000297040487429811*x^4-26.16068201*x^2-97000000=0

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Solution for 0.000000297040487429811*x^4-26.16068201*x^2-97000000=0 equation: 


Simplifying
0.000000297040487429811x4 + -26.16068201x2 + -97000000 = 0

Reorder the terms:
-97000000 + -26.16068201x2 + 0.000000297040487429811x4 = 0

Solving
-97000000 + -26.16068201x2 + 0.000000297040487429811x4 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.000000297040487429811 the coefficient of the squared term: 

Divide each side by '0.000000297040487429811'.
-326554810200000 + -88071098.44x2 + x4 = 0

Move the constant term to the right:

Add '326554810200000' to each side of the equation.
-326554810200000 + -88071098.44x2 + 326554810200000 + x4 = 0 + 326554810200000

Reorder the terms:
-326554810200000 + 326554810200000 + -88071098.44x2 + x4 = 0 + 326554810200000

Combine like terms: -326554810200000 + 326554810200000 = 0
0 + -88071098.44x2 + x4 = 0 + 326554810200000
-88071098.44x2 + x4 = 0 + 326554810200000

Combine like terms: 0 + 326554810200000 = 326554810200000
-88071098.44x2 + x4 = 326554810200000

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 = 326554810200000 + 1939129595000000

Reorder the terms:
1939129595000000 + -88071098.44x2 + x4 = 326554810200000 + 1939129595000000

Combine like terms: 326554810200000 + 1939129595000000 = 2265684405200000
1939129595000000 + -88071098.44x2 + x4 = 2265684405200000

Factor a perfect square on the left side:
(x2 + -44035549.22)(x2 + -44035549.22) = 2265684405200000

Calculate the square root of the right side: 47599205.930351401

Break this problem into two subproblems by setting 
(x2 + -44035549.22) equal to 47599205.930351401 and -47599205.930351401.


Subproblem 1
x2 + -44035549.22 = 47599205.930351401

Simplifying
x2 + -44035549.22 = 47599205.930351401

Reorder the terms:
-44035549.22 + x2 = 47599205.930351401

Solving
-44035549.22 + x2 = 47599205.930351401

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 = 47599205.930351401 + 44035549.22

Combine like terms: -44035549.22 + 44035549.22 = 0.00
0.00 + x2 = 47599205.930351401 + 44035549.22
x2 = 47599205.930351401 + 44035549.22

Combine like terms: 47599205.930351401 + 44035549.22 = 91634755.150351401
x2 = 91634755.150351401

Simplifying
x2 = 91634755.150351401

Take the square root of each side:
x = {-9572.604407911, 9572.604407911}


Subproblem 2
x2 + -44035549.22 = -47599205.930351401

Simplifying
x2 + -44035549.22 = -47599205.930351401

Reorder the terms:
-44035549.22 + x2 = -47599205.930351401

Solving
-44035549.22 + x2 = -47599205.930351401

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 = -47599205.930351401 + 44035549.22

Combine like terms: -44035549.22 + 44035549.22 = 0.00
0.00 + x2 = -47599205.930351401 + 44035549.22
x2 = -47599205.930351401 + 44035549.22

Combine like terms: -47599205.930351401 + 44035549.22 = -3563656.710351401
x2 = -3563656.710351401

Simplifying
x2 = -3563656.710351401

Reorder the terms:
3563656.710351401 + x2 = -3563656.710351401 + 3563656.710351401

Combine like terms: -3563656.710351401 + 3563656.710351401 = 0.000000000
3563656.710351401 + 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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