0=x^5-12x^3+32x

Simple and best practice solution for 0=x^5-12x^3+32x 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^5-12x^3+32x equation: 


Simplifying
0 = x5 + -12x3 + 32x

Reorder the terms:
0 = 32x + -12x3 + x5

Solving
0 = 32x + -12x3 + x5

Solving for variable 'x'.
Remove the zero:
-32x + 12x3 + -1x5 = 32x + -12x3 + x5 + -32x + 12x3 + -1x5

Reorder the terms:
-32x + 12x3 + -1x5 = 32x + -32x + -12x3 + 12x3 + x5 + -1x5

Combine like terms: 32x + -32x = 0
-32x + 12x3 + -1x5 = 0 + -12x3 + 12x3 + x5 + -1x5
-32x + 12x3 + -1x5 = -12x3 + 12x3 + x5 + -1x5

Combine like terms: -12x3 + 12x3 = 0
-32x + 12x3 + -1x5 = 0 + x5 + -1x5
-32x + 12x3 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-32x + 12x3 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32 + 12x2 + -1x4) = 0

Factor a trinomial.
x((-8 + x2)(4 + -1x2)) = 0

Factor a difference between two squares.
x((-8 + x2)((2 + x)(2 + -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 '(-8 + x2)' equal to zero and attempt to solve:

Simplifying
-8 + x2 = 0

Solving
-8 + x2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + x2 = 0 + 8
x2 = 0 + 8

Combine like terms: 0 + 8 = 8
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}

Subproblem 3
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 4
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, -2.828427125, 2.828427125, -2, 2}

See similar equations:

| (6m-7)4= | | 2/5*20x-15-7 | | -x+0.5=5x-47.5 | | 5x+3y=4x+2y+5 | | 20=-8w+6(w+6) | | 5x+3y=4+2y+5 | | 4(2x+1)-3x+6=5x+10 | | m+2=-14-3m | | 3n+8=90 | | 4x^2+30x=58x+72 | | 3v+10=10+5v | | 8.96/7 | | 16x^2+224x+735=0 | | (x-5)(xb+2x+1)=x(x+1)(x-4) | | (3+v)(2v-1)=0 | | 2a+1.5b= | | 42-(3c+4)=2(c+2)+c | | 7(2X-4)=6(X+3) | | 2x^2-32x+140=14 | | 1.66x-10=0.79 | | 6y=18-12x | | (2+y)(3y+4)=0 | | 8n^2-78n+19=0 | | 3x^2-10x-40=5x+2 | | -40x^2+325x=0 | | 40r+10=-10 | | 7n-58=135 | | 3x^2-15x-38=0 | | 2(x+4)=2(x-4) | | X^(4/3)=625 | | 20n^2p^2/2np^2 | | 6d=1+6d |

Equations solver categories