z(3z-8)(z+3)=0

Simple and best practice solution for z(3z-8)(z+3)=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 z(3z-8)(z+3)=0 equation: 


Simplifying
z(3z + -8)(z + 3) = 0

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

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

Multiply (-8 + 3z) * (3 + z)
z(-8(3 + z) + 3z * (3 + z)) = 0
z((3 * -8 + z * -8) + 3z * (3 + z)) = 0
z((-24 + -8z) + 3z * (3 + z)) = 0
z(-24 + -8z + (3 * 3z + z * 3z)) = 0
z(-24 + -8z + (9z + 3z2)) = 0

Combine like terms: -8z + 9z = 1z
z(-24 + 1z + 3z2) = 0
(-24 * z + 1z * z + 3z2 * z) = 0
(-24z + 1z2 + 3z3) = 0

Solving
-24z + 1z2 + 3z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-24 + z + 3z2) = 0

Factor a trinomial.
z((-3 + -1z)(8 + -3z)) = 0


Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0

Subproblem 2
Set the factor '(-3 + -1z)' equal to zero and attempt to solve:

Simplifying
-3 + -1z = 0

Solving
-3 + -1z = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1z = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1z = 0 + 3
-1z = 0 + 3

Combine like terms: 0 + 3 = 3
-1z = 3

Divide each side by '-1'.
z = -3

Simplifying
z = -3

Subproblem 3
Set the factor '(8 + -3z)' equal to zero and attempt to solve:

Simplifying
8 + -3z = 0

Solving
8 + -3z = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3z = 0 + -8
-3z = 0 + -8

Combine like terms: 0 + -8 = -8
-3z = -8

Divide each side by '-3'.
z = 2.666666667

Simplifying
z = 2.666666667
Solution
z = {0, -3, 2.666666667}

See similar equations:

| 3=3-6b-7b | | 17w-28=11 | | 0.10x+0.80(100)=0.20(100+x) | | 9s+6s= | | 6a^2+7a^2+8a^2-10a^2= | | 40(t+0.5)=50t | | 7z-4+8-5z= | | 3-0.75x-7=5 | | (3p^2/2p^6)^-2 | | 11y-6y-3y-y= | | 8m-3m-2m+7m= | | -x+2=-0.666666666667x | | 13/2-2 | | 70(t+0.5)=75t | | 3/5×(-5/8) | | 18x^2-12x^2= | | 0.1x+2y+5z=100 | | -x-9=x+7 | | 4=4-7n-3n | | 210=4x-(3x-2) | | -2=-10-10p | | 5x+3y-2x-2y= | | y^3-14y^2+48=0 | | 7y+y=24 | | 5=-3+2p | | 1200t+1100t=10350 | | w+45+3w+21+4w-25+w+48+2w+37+2w+35=720 | | -2/5-2/3w=-1/4 | | s-7+s+50+3s-44+2s-31=360 | | 0=-x^2+5x+25 | | 3b^2+6-11b=0 | | 148+143+s+s+45+3s+14=540 |

Equations solver categories