0=x^4+13x^2+36

Simple and best practice solution for 0=x^4+13x^2+36 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 0=x^4+13x^2+36 equation: 


Simplifying
0 = x4 + 13x2 + 36

Reorder the terms:
0 = 36 + 13x2 + x4

Solving
0 = 36 + 13x2 + x4

Solving for variable 'x'.

Combine like terms: 0 + -36 = -36
-36 + -13x2 + -1x4 = 36 + 13x2 + x4 + -36 + -13x2 + -1x4

Reorder the terms:
-36 + -13x2 + -1x4 = 36 + -36 + 13x2 + -13x2 + x4 + -1x4

Combine like terms: 36 + -36 = 0
-36 + -13x2 + -1x4 = 0 + 13x2 + -13x2 + x4 + -1x4
-36 + -13x2 + -1x4 = 13x2 + -13x2 + x4 + -1x4

Combine like terms: 13x2 + -13x2 = 0
-36 + -13x2 + -1x4 = 0 + x4 + -1x4
-36 + -13x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-36 + -13x2 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(36 + 13x2 + x4) = 0

Factor a trinomial.
-1((9 + x2)(4 + x2)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(9 + x2)' equal to zero and attempt to solve:

Simplifying
9 + x2 = 0

Solving
9 + x2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x2 = 0 + -9
x2 = 0 + -9

Combine like terms: 0 + -9 = -9
x2 = -9

Simplifying
x2 = -9

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 '(4 + x2)' equal to zero and attempt to solve:

Simplifying
4 + x2 = 0

Solving
4 + x2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x2 = 0 + -4
x2 = 0 + -4

Combine like terms: 0 + -4 = -4
x2 = -4

Simplifying
x2 = -4

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.

See similar equations:

| 15(t-3)+6t=7(3t+2)-12 | | 2*(9*3)= | | x^2+25x+54= | | 9*(2*3)= | | s^3+2s^2+5s+2=0 | | x^4-4x^3-62x^2-92x-35=0 | | 3(x-2)-4(x-3)=8 | | 7x+6=4x+6 | | -2+4p=2p-8 | | 7-4(2x-1)=3+4(4-x) | | 4(x-2)=2x+10 | | 16x^3-x= | | 3x-5=3+2x | | -6(t-3)-(t+3)=4 | | 28x^5+16x^7-20x^2+12= | | 15y-6=58-y | | z-10=5z+2 | | 3x^2+18x-14=0 | | 13+3x=97 | | 9x^3+198x^2+189x= | | 3x+4=10-5x | | 15x^2-17x-4= | | 3a+2=a+4 | | 125r^2-80= | | 16a^2-8a+1= | | x+.2x+.1x=10 | | x+.2x+.1x=10 | | a^4-8a^2+13=0 | | 7-2Y=9+3Y | | 10Y-21=7Y-3 | | x^2-14+42=0 | | 7-2x=13-3x |

Equations solver categories