0.00000029704*x^4-26.16068201*x^2-97000000=0

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Solution for 0.00000029704*x^4-26.16068201*x^2-97000000=0 equation: 


Simplifying
0.00000029704x4 + -26.16068201x2 + -97000000 = 0

Reorder the terms:
-97000000 + -26.16068201x2 + 0.00000029704x4 = 0

Solving
-97000000 + -26.16068201x2 + 0.00000029704x4 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
0.00000029704 the coefficient of the squared term: 

Divide each side by '0.00000029704'.
-326555346100000 + -88071242.96x2 + x4 = 0

Move the constant term to the right:

Add '326555346100000' to each side of the equation.
-326555346100000 + -88071242.96x2 + 326555346100000 + x4 = 0 + 326555346100000

Reorder the terms:
-326555346100000 + 326555346100000 + -88071242.96x2 + x4 = 0 + 326555346100000

Combine like terms: -326555346100000 + 326555346100000 = 0
0 + -88071242.96x2 + x4 = 0 + 326555346100000
-88071242.96x2 + x4 = 0 + 326555346100000

Combine like terms: 0 + 326555346100000 = 326555346100000
-88071242.96x2 + x4 = 326555346100000

The x term is -88071242.96x2.  Take half its coefficient (-44035621.48).
Square it (1939135959000000) and add it to both sides.

Add '1939135959000000' to each side of the equation.
-88071242.96x2 + 1939135959000000 + x4 = 326555346100000 + 1939135959000000

Reorder the terms:
1939135959000000 + -88071242.96x2 + x4 = 326555346100000 + 1939135959000000

Combine like terms: 326555346100000 + 1939135959000000 = 2265691305100000
1939135959000000 + -88071242.96x2 + x4 = 2265691305100000

Factor a perfect square on the left side:
(x2 + -44035621.48)(x2 + -44035621.48) = 2265691305100000

Calculate the square root of the right side: 47599278.409446503

Break this problem into two subproblems by setting 
(x2 + -44035621.48) equal to 47599278.409446503 and -47599278.409446503.


Subproblem 1
x2 + -44035621.48 = 47599278.409446503

Simplifying
x2 + -44035621.48 = 47599278.409446503

Reorder the terms:
-44035621.48 + x2 = 47599278.409446503

Solving
-44035621.48 + x2 = 47599278.409446503

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '44035621.48' to each side of the equation.
-44035621.48 + 44035621.48 + x2 = 47599278.409446503 + 44035621.48

Combine like terms: -44035621.48 + 44035621.48 = 0.00
0.00 + x2 = 47599278.409446503 + 44035621.48
x2 = 47599278.409446503 + 44035621.48

Combine like terms: 47599278.409446503 + 44035621.48 = 91634899.889446503
x2 = 91634899.889446503

Simplifying
x2 = 91634899.889446503

Take the square root of each side:
x = {-9572.611967976, 9572.611967976}


Subproblem 2
x2 + -44035621.48 = -47599278.409446503

Simplifying
x2 + -44035621.48 = -47599278.409446503

Reorder the terms:
-44035621.48 + x2 = -47599278.409446503

Solving
-44035621.48 + x2 = -47599278.409446503

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '44035621.48' to each side of the equation.
-44035621.48 + 44035621.48 + x2 = -47599278.409446503 + 44035621.48

Combine like terms: -44035621.48 + 44035621.48 = 0.00
0.00 + x2 = -47599278.409446503 + 44035621.48
x2 = -47599278.409446503 + 44035621.48

Combine like terms: -47599278.409446503 + 44035621.48 = -3563656.929446503
x2 = -3563656.929446503

Simplifying
x2 = -3563656.929446503

Reorder the terms:
3563656.929446503 + x2 = -3563656.929446503 + 3563656.929446503

Combine like terms: -3563656.929446503 + 3563656.929446503 = 0.000000000
3563656.929446503 + 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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