x^4+2x^2-80=0

Simple and best practice solution for x^4+2x^2-80=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^4+2x^2-80=0 equation: 


Simplifying
x4 + 2x2 + -80 = 0

Reorder the terms:
-80 + 2x2 + x4 = 0

Solving
-80 + 2x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x2)(8 + -1x2) = 0


Subproblem 1
Set the factor '(-10 + -1x2)' equal to zero and attempt to solve:

Simplifying
-10 + -1x2 = 0

Solving
-10 + -1x2 = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x2 = 0 + 10
-1x2 = 0 + 10

Combine like terms: 0 + 10 = 10
-1x2 = 10

Divide each side by '-1'.
x2 = -10

Simplifying
x2 = -10

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(8 + -1x2)' equal to zero and attempt to solve:

Simplifying
8 + -1x2 = 0

Solving
8 + -1x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x2 = 0 + -8
-1x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x2 = -8

Divide each side by '-1'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}
Solution
x = {-2.828427125, 2.828427125}

See similar equations:

| 6(P+24)=414 | | -2z+4=-27.2+2z | | c=clt | | c=cult | | c=cly | | 5logx=8 | | -81=b-3(7-3b) | | 22=(x-300000)/x | | 7x=-45 | | k=8r-s | | 0.45(6)+0.05x=0.15(12+x) | | 2z+1.1=0+3z | | 120=x+(x-3) | | 10-(2y-4)=7-3y | | 2x^2-242= | | 3m^4+18m^2-120=0 | | 3v+30=-3(v+2) | | 4x^2+20x+106=0 | | (4y^2-5y^3)-(6y^2+5y+7)= | | 2z^2-z-1=0 | | -7y+2(y-7)=1 | | a*25/2=-5/8 | | 4-3(y+2)=16 | | 1/4(9x-8) | | 1-15*x+3*x^2+x^3=0 | | 294=3-y | | 2r-5r+7+r= | | 2x^4+2x^2-180=0 | | b^2-8b-0= | | 10+7x+x^2=0 | | 2u=-14 | | 5(z-21)=9(z+15) |

Equations solver categories