2x^4+11x^2-30=0

Simple and best practice solution for 2x^4+11x^2-30=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 2x^4+11x^2-30=0 equation: 


Simplifying
2x4 + 11x2 + -30 = 0

Reorder the terms:
-30 + 11x2 + 2x4 = 0

Solving
-30 + 11x2 + 2x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-15 + -2x2)(2 + -1x2) = 0


Subproblem 1
Set the factor '(-15 + -2x2)' equal to zero and attempt to solve:

Simplifying
-15 + -2x2 = 0

Solving
-15 + -2x2 = 0

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

Add '15' to each side of the equation.
-15 + 15 + -2x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -2x2 = 0 + 15
-2x2 = 0 + 15

Combine like terms: 0 + 15 = 15
-2x2 = 15

Divide each side by '-2'.
x2 = -7.5

Simplifying
x2 = -7.5

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 '(2 + -1x2)' equal to zero and attempt to solve:

Simplifying
2 + -1x2 = 0

Solving
2 + -1x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x2 = 0 + -2
-1x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1x2 = -2

Divide each side by '-1'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}
Solution
x = {-1.414213562, 1.414213562}

See similar equations:

| 13m=117 | | 4cos^2x+4cosx-3=0 | | 4/9*t=104 | | 2x^4+11x^2+30=0 | | A^2+7a+78=0 | | 1.44/0.02 | | -0.9(-0.74+8x)=-6.3x | | 20=10u | | -18-5l=6(1+3k) | | -10+3n=-34 | | 9c=117 | | 3x+4=x+48 | | 6+10a=6 | | b^2=49-25 | | 6-2n=-18 | | x^2-8x+63=0 | | 7+4x(9-4)= | | 4y^2-4y+1=25 | | -4x-3=-2 | | -4k-6=-34 | | 4(2x+6)=24 | | 14t-11t= | | 110=w^2+6w-110 | | 3+4k=2k+9 | | x^2-6x+21=180 | | -9m+1=-62 | | 3v^2-27= | | (2y-1)=25 | | y=(5m+1)x+4 | | (6/8)(3/8) | | 10k-2=-82 | | x^2-6x+121=0 |

Equations solver categories