z^10-4z^9y-21z^8y^2=

Simple and best practice solution for z^10-4z^9y-21z^8y^2= 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^10-4z^9y-21z^8y^2= equation: 


Simplifying
z10 + -4z9y + -21z8y2 = 0

Reorder the terms:
-4yz9 + -21y2z8 + z10 = 0

Solving
-4yz9 + -21y2z8 + z10 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'z8'.
z8(-4yz + -21y2 + z2) = 0

Factor a trinomial.
z8((-3y + -1z)(7y + -1z)) = 0


Subproblem 1
Set the factor 'z8' equal to zero and attempt to solve:

Simplifying
z8 = 0

Solving
z8 = 0

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

Add '-1z8' to each side of the equation.
z8 + -1z8 = 0 + -1z8
Remove the zero:
0 = -1z8

Simplifying
0 = -1z8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
-3y + -1z = 0

Solving
-3y + -1z = 0

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

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

Combine like terms: -1z + z = 0
-3y + 0 = 0 + z
-3y = 0 + z
Remove the zero:
-3y = z

Divide each side by '-3'.
y = -0.3333333333z

Simplifying
y = -0.3333333333z

Subproblem 3
Set the factor '(7y + -1z)' equal to zero and attempt to solve:

Simplifying
7y + -1z = 0

Solving
7y + -1z = 0

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

Add 'z' to each side of the equation.
7y + -1z + z = 0 + z

Combine like terms: -1z + z = 0
7y + 0 = 0 + z
7y = 0 + z
Remove the zero:
7y = z

Divide each side by '7'.
y = 0.1428571429z

Simplifying
y = 0.1428571429z
Solution
y = {-0.3333333333z, 0.1428571429z}

See similar equations:

| 2x+42=45 | | 9y-36y^2=0 | | 20y^3-60y^2+45y= | | y^3z+y^2z^2-6yz^3= | | 20y^3-45y= | | 20y^3+45y= | | (a+b)=5(a+b) | | (2w^7-9w^3+6w^2+6)+(3w^6+3w^3-8w)=X | | 16x+9x=72 | | 5y^3+y^2-16y= | | (2w^7-9w^3+6w^2+6)+(3w^6+3w^3-8w)= | | m^3n-10m^2n^2+24mn^3= | | b^2+b=132 | | 5m^5+25m^4-40m^2= | | 98x=7 | | 4(x-2)-7=-3(x-5) | | 4(x-2)-7=3(x-5) | | 2x^6+8x^5-42x^4= | | g(r)=4+r | | 27b(b+3)=3510 | | 4(x-2)-7=3(x+5) | | 2T^3+8t^2+6t= | | 3x^3+2x^2+7x+8= | | 6y^2+21y+18= | | 2n^2-18= | | 41nx+82n=8 | | 41n(x+2)=8 | | 2n^2+18= | | x^2-7v+6=0 | | (x+4)x=96 | | (x+4)y=96 | | 11=x+2x+8 |

Equations solver categories