6z^3-27z^2+12z=3z(z-4)(2z-1)

Simple and best practice solution for 6z^3-27z^2+12z=3z(z-4)(2z-1) 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 6z^3-27z^2+12z=3z(z-4)(2z-1) equation: 


Simplifying
6z3 + -27z2 + 12z = 3z(z + -4)(2z + -1)

Reorder the terms:
12z + -27z2 + 6z3 = 3z(z + -4)(2z + -1)

Reorder the terms:
12z + -27z2 + 6z3 = 3z(-4 + z)(2z + -1)

Reorder the terms:
12z + -27z2 + 6z3 = 3z(-4 + z)(-1 + 2z)

Multiply (-4 + z) * (-1 + 2z)
12z + -27z2 + 6z3 = 3z(-4(-1 + 2z) + z(-1 + 2z))
12z + -27z2 + 6z3 = 3z((-1 * -4 + 2z * -4) + z(-1 + 2z))
12z + -27z2 + 6z3 = 3z((4 + -8z) + z(-1 + 2z))
12z + -27z2 + 6z3 = 3z(4 + -8z + (-1 * z + 2z * z))
12z + -27z2 + 6z3 = 3z(4 + -8z + (-1z + 2z2))

Combine like terms: -8z + -1z = -9z
12z + -27z2 + 6z3 = 3z(4 + -9z + 2z2)
12z + -27z2 + 6z3 = (4 * 3z + -9z * 3z + 2z2 * 3z)
12z + -27z2 + 6z3 = (12z + -27z2 + 6z3)

Add '-12z' to each side of the equation.
12z + -27z2 + -12z + 6z3 = 12z + -27z2 + -12z + 6z3

Reorder the terms:
12z + -12z + -27z2 + 6z3 = 12z + -27z2 + -12z + 6z3

Combine like terms: 12z + -12z = 0
0 + -27z2 + 6z3 = 12z + -27z2 + -12z + 6z3
-27z2 + 6z3 = 12z + -27z2 + -12z + 6z3

Reorder the terms:
-27z2 + 6z3 = 12z + -12z + -27z2 + 6z3

Combine like terms: 12z + -12z = 0
-27z2 + 6z3 = 0 + -27z2 + 6z3
-27z2 + 6z3 = -27z2 + 6z3

Add '27z2' to each side of the equation.
-27z2 + 27z2 + 6z3 = -27z2 + 27z2 + 6z3

Combine like terms: -27z2 + 27z2 = 0
0 + 6z3 = -27z2 + 27z2 + 6z3
6z3 = -27z2 + 27z2 + 6z3

Combine like terms: -27z2 + 27z2 = 0
6z3 = 0 + 6z3
6z3 = 6z3

Add '-6z3' to each side of the equation.
6z3 + -6z3 = 6z3 + -6z3

Combine like terms: 6z3 + -6z3 = 0
0 = 6z3 + -6z3

Combine like terms: 6z3 + -6z3 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

See similar equations:

| d-9=20 | | 7x+9.04=3x+17 | | 0.3x+0.2=-1 | | 1/4(n-16)=2 | | y-9.4=6 | | 4k^3+12k^2+11k+3=0 | | 12-(-9)n=8-4n | | 1/4j-12=13 | | 17=y-7 | | 15n+5=415 | | x+6y=12y | | 15n+5=45 | | (-7/3)(0)+1y=-10 | | 3x+10y=-3 | | -8x-13-2x+4=-81 | | 20x^2/3-6x^1/3-2=0 | | 80+x+51+x+71=180 | | -3(0)+1y=-10 | | -3x+1(0)=-10 | | 9x^4-7x-2=0 | | x+34+x+64+90=180 | | -1/3p+1=10 | | 5(x+5)9= | | 4(x-4)=112/14 | | 4n-8=-32 | | (5Y+7)(5Y+11)=0 | | 9x+9x+90=180 | | 5x+11=418 | | 9+2n=2+3n | | 4x-5=3x+2 | | 2/5y-7=(-11) | | 26-x=(2x+1) |

Equations solver categories