4z(3z+2)(5z-4)=

Simple and best practice solution for 4z(3z+2)(5z-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 4z(3z+2)(5z-4)= equation: 


Simplifying
4z(3z + 2)(5z + -4) = 0

Reorder the terms:
4z(2 + 3z)(5z + -4) = 0

Reorder the terms:
4z(2 + 3z)(-4 + 5z) = 0

Multiply (2 + 3z) * (-4 + 5z)
4z(2(-4 + 5z) + 3z * (-4 + 5z)) = 0
4z((-4 * 2 + 5z * 2) + 3z * (-4 + 5z)) = 0
4z((-8 + 10z) + 3z * (-4 + 5z)) = 0
4z(-8 + 10z + (-4 * 3z + 5z * 3z)) = 0
4z(-8 + 10z + (-12z + 15z2)) = 0

Combine like terms: 10z + -12z = -2z
4z(-8 + -2z + 15z2) = 0
(-8 * 4z + -2z * 4z + 15z2 * 4z) = 0
(-32z + -8z2 + 60z3) = 0

Solving
-32z + -8z2 + 60z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '4z'.
4z(-8 + -2z + 15z2) = 0

Factor a trinomial.
4z((-2 + -3z)(4 + -5z)) = 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 '(-2 + -3z)' equal to zero and attempt to solve:

Simplifying
-2 + -3z = 0

Solving
-2 + -3z = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3z = 0 + 2
-3z = 0 + 2

Combine like terms: 0 + 2 = 2
-3z = 2

Divide each side by '-3'.
z = -0.6666666667

Simplifying
z = -0.6666666667

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, -0.6666666667, 0.8}

See similar equations:

| (15x^2+16x+4)=0 | | 5-t=13+3t | | 7x^2-14x-21= | | 100=2(2+3w)+2w | | 4Z+12z= | | 15r^2-7r-2= | | 3x^2p+6x=0 | | 1+u=13-2u | | (m^2-4m+7)-(4m^2-4)-(-2m+6)= | | 4(k-1)=36 | | 7*8+130= | | (7a+2)10.75= | | (m^2-4m+5)-(6m^2-2)-(-2m+4)= | | 1/x=0.02 | | 225=x^2+8x | | 3(2y+1)+y=-39 | | 5/6z=25 | | (x-2)/(4)-1=(x-10)/(5) | | Q=2p+3q | | 322=6*w+2w | | (-3z^2+8z-12)-(8z^2+z)= | | 3x^2+9x^2=30x | | xlny+y^6=8lnx | | 6n-11=4n-11 | | 9x-17=17+10x | | 17+1x= | | 5x^2-30x+0= | | 4(6x-32)=88 | | 8x+12=50 | | Y+8=-2(x+3) | | X-2y=13fory | | -7p+5(4p-7)=-7+2(6p-7) |

Equations solver categories