z(5z-4)(z+3)=0

Simple and best practice solution for z(5z-4)(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(5z-4)(z+3)=0 equation: 


Simplifying
z(5z + -4)(z + 3) = 0

Reorder the terms:
z(-4 + 5z)(z + 3) = 0

Reorder the terms:
z(-4 + 5z)(3 + z) = 0

Multiply (-4 + 5z) * (3 + z)
z(-4(3 + z) + 5z * (3 + z)) = 0
z((3 * -4 + z * -4) + 5z * (3 + z)) = 0
z((-12 + -4z) + 5z * (3 + z)) = 0
z(-12 + -4z + (3 * 5z + z * 5z)) = 0
z(-12 + -4z + (15z + 5z2)) = 0

Combine like terms: -4z + 15z = 11z
z(-12 + 11z + 5z2) = 0
(-12 * z + 11z * z + 5z2 * z) = 0
(-12z + 11z2 + 5z3) = 0

Solving
-12z + 11z2 + 5z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-12 + 11z + 5z2) = 0

Factor a trinomial.
z((-3 + -1z)(4 + -5z)) = 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 '(4 + -5z)' equal to zero and attempt to solve:

Simplifying
4 + -5z = 0

Solving
4 + -5z = 0

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

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

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

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

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

Simplifying
z = 0.8
Solution
z = {0, -3, 0.8}

See similar equations:

| x-20=205 | | -3x-8=9x+16 | | 4x+3=(-3)-4 | | 8a+a+15=51 | | 32j=0 | | x+9=95 | | 15t=30 | | j-(-19)=79 | | 7h=-77 | | 0=-16t^2+215t+40 | | -192=-24v | | 0.20x+0.25(30)=24.5 | | c(m)=0.05m+0.9 | | 4(x-6)+6x=6 | | -6c=-66 | | -4s=-40 | | 7-(1-x)=11 | | -330=15j | | 7x+4x-2x=72 | | -21=-3t | | -40=b-35 | | 3x=5x-3 | | 12+3(2x-5)=21 | | S-19=18 | | 0=c+-46 | | 14ab-(3a*4b)= | | R+15=-25 | | -23=r-4 | | 2(4x+3)=38 | | 14+3x=41 | | 14ab-3a*4b= | | 5r-1(4r+6)=9 |

Equations solver categories