5x^3-8x^2+4x=0

Simple and best practice solution for 5x^3-8x^2+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 5x^3-8x^2+4x=0 equation: 


Simplifying
5x3 + -8x2 + 4x = 0

Reorder the terms:
4x + -8x2 + 5x3 = 0

Solving
4x + -8x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -8x + 5x2) = 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 '(4 + -8x + 5x2)' equal to zero and attempt to solve:

Simplifying
4 + -8x + 5x2 = 0

Solving
4 + -8x + 5x2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
0.8 + -1.6x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -1.6x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -1.6x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1.6x + x2 = 0 + -0.8
-1.6x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-1.6x + x2 = -0.8

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -0.8 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -0.8 + 0.64

Combine like terms: -0.8 + 0.64 = -0.16
0.64 + -1.6x + x2 = -0.16

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = -0.16

Can't calculate square root of the right side.

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:

| 5x^3+8x^2+4x=0 | | -6x+4-10x^2=0 | | 7x^2-4x-16=0 | | (4x+5)(x-8)=0 | | 4p-3(6-2p)=6(p-2)-14 | | 9y=3x+6 | | N^3-n-56=0 | | 2d+6=22 | | 6k-19=19+5k | | 9/8*8/1=-11*8 | | 7(y)-28=210 | | 7.2=4z+3z | | (x^2+100)=(28x-96) | | -11=9/8 | | 2cosx-4cosx+3=0 | | 3(2x+2)+4= | | A=bc+xy | | -3.4y-5.2=3y+2 | | log[4](x^2-9)-log[4](x+3)=3 | | z^2-3z+40=0 | | Y=500x+2.50 | | 2(x-4)-7(x+2)=-2(x+11) | | 1.5*x+2*y=200 | | 6x+33=117 | | w+2w+3w=210 | | 3(2x-2)=-(x-8) | | 127=4x+6x+7 | | 0.2*3x-x=6 | | 6(2x+3)-14=40 | | 90+(y+7)+3x=180 | | y=2(x-3)(x+5) | | 2r+7+6=19 |

Equations solver categories