0=(x-3)*(x^3-8x)

Simple and best practice solution for 0=(x-3)*(x^3-8x) 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-3)*(x^3-8x) equation: 


Simplifying
0 = (x + -3)(x3 + -8x)

Reorder the terms:
0 = (-3 + x)(x3 + -8x)

Reorder the terms:
0 = (-3 + x)(-8x + x3)

Multiply (-3 + x) * (-8x + x3)
0 = (-3(-8x + x3) + x(-8x + x3))
0 = ((-8x * -3 + x3 * -3) + x(-8x + x3))
0 = ((24x + -3x3) + x(-8x + x3))
0 = (24x + -3x3 + (-8x * x + x3 * x))
0 = (24x + -3x3 + (-8x2 + x4))

Reorder the terms:
0 = (24x + -8x2 + -3x3 + x4)
0 = (24x + -8x2 + -3x3 + x4)

Solving
0 = 24x + -8x2 + -3x3 + x4

Solving for variable 'x'.
Remove the zero:
-24x + 8x2 + 3x3 + -1x4 = 24x + -8x2 + -3x3 + x4 + -24x + 8x2 + 3x3 + -1x4

Reorder the terms:
-24x + 8x2 + 3x3 + -1x4 = 24x + -24x + -8x2 + 8x2 + -3x3 + 3x3 + x4 + -1x4

Combine like terms: 24x + -24x = 0
-24x + 8x2 + 3x3 + -1x4 = 0 + -8x2 + 8x2 + -3x3 + 3x3 + x4 + -1x4
-24x + 8x2 + 3x3 + -1x4 = -8x2 + 8x2 + -3x3 + 3x3 + x4 + -1x4

Combine like terms: -8x2 + 8x2 = 0
-24x + 8x2 + 3x3 + -1x4 = 0 + -3x3 + 3x3 + x4 + -1x4
-24x + 8x2 + 3x3 + -1x4 = -3x3 + 3x3 + x4 + -1x4

Combine like terms: -3x3 + 3x3 = 0
-24x + 8x2 + 3x3 + -1x4 = 0 + x4 + -1x4
-24x + 8x2 + 3x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-24x + 8x2 + 3x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24 + 8x + 3x2 + -1x3) = 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 '(-24 + 8x + 3x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-24 + 8x + 3x2 + -1x3 = 0

Solving
-24 + 8x + 3x2 + -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:

| x^3-12x^2+60x+100=0 | | 8m+5n-4m+7n= | | -3*sin(x)+9*sin(3x)=0 | | 3*cos(x)+3*cos(3x)=0 | | 24x+96=288 | | (3x+6)dx+(5y)dy=0 | | 4(2x-9)=12 | | 3dx=(2y^3-8)dy | | 2(2x+6)+3(x+5)=21 | | 4a-2b+c=2 | | z^2+(1-i)*z-i=0 | | 7x=3x-(x-20) | | 5x^2-2xy-2y^2+14x+10y-17=0 | | 29-3x=-28-8x | | 4x+133=10x-4 | | =1000 | | 18a/9 | | 4(x+133)=10(x-5) | | 60+60-0+1= | | X^2-7x+4forx=8 | | (x^3+4x^2+5x-3)=0 | | 3x+37=13x+53 | | 14x+21+12x-2= | | 10x-7=8x+11 | | 6x-y^2=0 | | 9(2x-9)=3(6x+2) | | (2x+1)(x-2)(x+1)=0 | | 13z-17z=32 | | t+30=15 | | |-1/6x|=|-5/3| | | (x^2)-2i=0 | | X-2i=0 |

Equations solver categories