4z(z+3)(z-8)=0

Simple and best practice solution for 4z(z+3)(z-8)=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 4z(z+3)(z-8)=0 equation: 


Simplifying
4z(z + 3)(z + -8) = 0

Reorder the terms:
4z(3 + z)(z + -8) = 0

Reorder the terms:
4z(3 + z)(-8 + z) = 0

Multiply (3 + z) * (-8 + z)
4z(3(-8 + z) + z(-8 + z)) = 0
4z((-8 * 3 + z * 3) + z(-8 + z)) = 0
4z((-24 + 3z) + z(-8 + z)) = 0
4z(-24 + 3z + (-8 * z + z * z)) = 0
4z(-24 + 3z + (-8z + z2)) = 0

Combine like terms: 3z + -8z = -5z
4z(-24 + -5z + z2) = 0
(-24 * 4z + -5z * 4z + z2 * 4z) = 0
(-96z + -20z2 + 4z3) = 0

Solving
-96z + -20z2 + 4z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '4z'.
4z(-24 + -5z + z2) = 0

Factor a trinomial.
4z((-3 + -1z)(8 + -1z)) = 0

Ignore the factor 4.

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 + -1z)' equal to zero and attempt to solve:

Simplifying
8 + -1z = 0

Solving
8 + -1z = 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 + -1z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1z = 0 + -8
-1z = 0 + -8

Combine like terms: 0 + -8 = -8
-1z = -8

Divide each side by '-1'.
z = 8

Simplifying
z = 8
Solution
z = {0, -3, 8}

See similar equations:

| 20.00+x=60 | | 20x+x=60 | | 3x-7y=0 | | 60=20.00+x | | (2-v)(3v-8)=0 | | 69=20.00+x | | 60=20x | | 5(x+4)+3x=36 | | 3(y+8)(-y-1)=0 | | 8+2c=-8 | | 8+2c=8 | | a^2+7a+10=0 | | (3-v)(3v+7)=0 | | 8+2c-11=3 | | X-0.20=60 | | 8+2c-11=-3 | | (u-2)(u-1)=0 | | 5lnx^5-lnx^8=0 | | (z-2)(z+4)=0 | | 0(-2)+5= | | -1(-2)+5= | | u^2+4u-21=0 | | 33=7x+4x | | 0(-2)= | | 5x+30=7x | | u^2-9u+20=0 | | -2(-2)= | | 5x-10+15=4x+12 | | 0(-2)+5=7 | | v^2-5v-6=0 | | .08(50)+0.40x=0.20(50+x) | | -1(-2)+5=7 |

Equations solver categories