x^4-15x^2+44=0

Simple and best practice solution for x^4-15x^2+44=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^4-15x^2+44=0 equation: 


Simplifying
x4 + -15x2 + 44 = 0

Reorder the terms:
44 + -15x2 + x4 = 0

Solving
44 + -15x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x2)(11 + -1x2) = 0

Factor a difference between two squares.
((2 + x)(2 + -1x))(11 + -1x2) = 0


Subproblem 1
Set the factor '(11 + -1x2)' equal to zero and attempt to solve:

Simplifying
11 + -1x2 = 0

Solving
11 + -1x2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x2 = 0 + -11
-1x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-1x2 = -11

Divide each side by '-1'.
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

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

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

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

Simplifying
x = 2
Solution
x = {-3.31662479, 3.31662479, -2, 2}

See similar equations:

| 15x=x(55+4) | | 6k-2k-5= | | 4y-2=2y-4 | | 5x-15=-60 | | 3x^4+11x^3=4x^2 | | 2m^2-m-3=0 | | .25v+3=.20v+.35 | | 3w^2-10w=8 | | x^3+5x^2-4x-20=0 | | 4x^7-26x^6=48x^5 | | 6t^3-6=9t^3-6t | | 2a+3=-2a-5 | | 0=-16x^2+38x+5 | | 12x-11=11x-16 | | 3w-7.9=-4.75-6w | | 3x-8=9x+22 | | X(X+6)=7 | | 2x^2-17x+21=0 | | -3p+8=6-(8p+4) | | 6x-5=-2+11 | | 8x^2+50x-42=0 | | 3(x+3)=-18 | | .75d+18=.75d-20 | | 9(12-7)+14= | | 2x+6-3x+2=-1 | | 9x(12-7)+14= | | n-2=42 | | n-3=47 | | 4(9a+10b)-(10a-7b)= | | y-3-3y-7= | | n-9=59 | | -16t^2+64t+512=0 |

Equations solver categories