x^5-5x^3+4x=0

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


Simplifying
x5 + -5x3 + 4x = 0

Reorder the terms:
4x + -5x3 + x5 = 0

Solving
4x + -5x3 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -5x2 + x4) = 0

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

Factor a difference between two squares.
x(((1 + x)(1 + -1x))(4 + -1x2)) = 0

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

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Subproblem 3

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Subproblem 4

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 5

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 = {0, -1, 1, -2, 2}

See similar equations:

| 16a^2+72a=-81 | | 3x=y+3 | | 5x-2x+9=36 | | 81x^3-192=0 | | 6x^2-33x^5-18x^4= | | 10x+8y=150 | | -2c=28 | | 6-4x=6x-8x+2 | | 6-4x=6x-8x | | m^3+3m^2-4=0 | | 81a^2-16=0 | | 6x=5y+20 | | 4n+3n=35 | | 2(c+6)=5(c+12) | | 12-13c-4+12c=0 | | r^2+15r+54=0 | | 5(t+7)=2(2t+7) | | t(7t+1)=0 | | -9c=21 | | 3(j+4)=-2j+j | | 6n-10=4+6 | | 6x-5y=20 | | -3h=9(2-3h) | | 12-8c-4+9c=0 | | 3(t-7)=6t | | 14+3(8x-4)=-22 | | (4k+1)x^2-(k+10)x+2k=0 | | 6x+y=6 | | 4y-13=31 | | r-7=65 | | (36-5)4x=4x(36-5) | | 10x-2-6x=3x-2+x |

Equations solver categories