0=X^5-2X^4-4X^3+X^2

Simple and best practice solution for 0=X^5-2X^4-4X^3+X^2 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^5-2X^4-4X^3+X^2 equation: 


Simplifying
0 = X5 + -2X4 + -4X3 + X2

Reorder the terms:
0 = X2 + -4X3 + -2X4 + X5

Solving
0 = X2 + -4X3 + -2X4 + X5

Solving for variable 'X'.
Remove the zero:
-1X2 + 4X3 + 2X4 + -1X5 = X2 + -4X3 + -2X4 + X5 + -1X2 + 4X3 + 2X4 + -1X5

Reorder the terms:
-1X2 + 4X3 + 2X4 + -1X5 = X2 + -1X2 + -4X3 + 4X3 + -2X4 + 2X4 + X5 + -1X5

Combine like terms: X2 + -1X2 = 0
-1X2 + 4X3 + 2X4 + -1X5 = 0 + -4X3 + 4X3 + -2X4 + 2X4 + X5 + -1X5
-1X2 + 4X3 + 2X4 + -1X5 = -4X3 + 4X3 + -2X4 + 2X4 + X5 + -1X5

Combine like terms: -4X3 + 4X3 = 0
-1X2 + 4X3 + 2X4 + -1X5 = 0 + -2X4 + 2X4 + X5 + -1X5
-1X2 + 4X3 + 2X4 + -1X5 = -2X4 + 2X4 + X5 + -1X5

Combine like terms: -2X4 + 2X4 = 0
-1X2 + 4X3 + 2X4 + -1X5 = 0 + X5 + -1X5
-1X2 + 4X3 + 2X4 + -1X5 = X5 + -1X5

Combine like terms: X5 + -1X5 = 0
-1X2 + 4X3 + 2X4 + -1X5 = 0

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(-1 + 4X + 2X2 + -1X3) = 0


Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
X = {0}

Subproblem 2
Set the factor '(-1 + 4X + 2X2 + -1X3)' equal to zero and attempt to solve:

Simplifying
-1 + 4X + 2X2 + -1X3 = 0

Solving
-1 + 4X + 2X2 + -1X3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

See similar equations:

| f(x)=X^5-2X^4-4X^3+X^2 | | 2x^2+2xy+2y^2-2=0 | | 2=3z+12z | | R=j+f+z | | 8sin^2(t)-6=0 | | -2(w-4)-(9-6w)=3w | | (-5)(-20)= | | -5x-20= | | 2r-3.1=4 | | 3y+4=15 | | 7(x+7)-(8+4x)=2x | | 6x+8y+32=0 | | 5(8c-1)-4=38c+5 | | 2(t-3)+7=-5 | | b-7+4b=25 | | -3.1-5x=11.4 | | 2x-3+8x-3-6= | | 6y+9=4y-5 | | (3x^2+2x)-(x^2-5x+7)= | | 27z^3+9z^2-12z-4=0 | | 21.80=4g+3.68 | | 10+8x=x-4 | | x^2=8-4x | | 2x+2+4=-15-3x+5 | | 4x+5=6c-1 | | 8x-4=4+4x | | tablefory=5.2x | | 9-cos(t)=0 | | 7.5y+13.44=84.66 | | -2m^2+18m-33=0 | | 7.5y-13.44=84.66 | | 5+(2a)+5+a+5+a+a+a+5=41 |

Equations solver categories