6x^2=x(x-4)

Simple and best practice solution for 6x^2=x(x-4) 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 6x^2=x(x-4) equation: 


Simplifying
6x2 = x(x + -4)

Reorder the terms:
6x2 = x(-4 + x)
6x2 = (-4 * x + x * x)
6x2 = (-4x + x2)

Solving
6x2 = -4x + x2

Solving for variable 'x'.

Reorder the terms:
4x + 6x2 + -1x2 = -4x + x2 + 4x + -1x2

Combine like terms: 6x2 + -1x2 = 5x2
4x + 5x2 = -4x + x2 + 4x + -1x2

Reorder the terms:
4x + 5x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
4x + 5x2 = 0 + x2 + -1x2
4x + 5x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4x + 5x2 = 0

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

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {0, -0.8}

See similar equations:

| x^4+y^4=2xy | | -2x+4=3x-5 | | 2x=-8x-3 | | 6-(2c-1)=(3+2c)(3-2c) | | 7(x+8)=3x+20 | | 5x-(x+4)=28 | | 15-3t=4t-34 | | 4w+4x-12y+5w+7x+4y= | | 5x^3+4=2 | | 10h+4=10 | | 15x-28y=1 | | 5(6p)=3(8p-4) | | 10z-5(z+3)= | | 4y-12=12+4y | | Y(2y+5)=52 | | 22+7=5 | | 22+5=5 | | 3y^4=6 | | 3(x+9)=4(2x+2) | | 5x^2+2=3 | | 2e=0 | | (3g+8)(2g-4)= | | 7x-5+4x+4=3x+5+8x-6 | | 6(H-14)+2(H-3)=14 | | 6x^2-3x=-18 | | 3(x+9)=4(2x+1) | | (x+9)=2*4(x+1) | | 3(x+9)=8(x+1) | | 21/3×3 | | p/300-185 | | 4*g=36 | | 11/5-3/10 |

Equations solver categories