Z^4-17z^2+16=0

Simple and best practice solution for Z^4-17z^2+16=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^4-17z^2+16=0 equation: 


Simplifying
Z4 + -17z2 + 16 = 0

Reorder the terms:
16 + Z4 + -17z2 = 0

Solving
16 + Z4 + -17z2 = 0

Solving for variable 'Z'.

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

Add '-16' to each side of the equation.
16 + Z4 + -16 + -17z2 = 0 + -16

Reorder the terms:
16 + -16 + Z4 + -17z2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + Z4 + -17z2 = 0 + -16
Z4 + -17z2 = 0 + -16

Combine like terms: 0 + -16 = -16
Z4 + -17z2 = -16

Add '17z2' to each side of the equation.
Z4 + -17z2 + 17z2 = -16 + 17z2

Combine like terms: -17z2 + 17z2 = 0
Z4 + 0 = -16 + 17z2
Z4 = -16 + 17z2

Simplifying
Z4 = -16 + 17z2

Reorder the terms:
16 + Z4 + -17z2 = -16 + 17z2 + 16 + -17z2

Reorder the terms:
16 + Z4 + -17z2 = -16 + 16 + 17z2 + -17z2

Combine like terms: -16 + 16 = 0
16 + Z4 + -17z2 = 0 + 17z2 + -17z2
16 + Z4 + -17z2 = 17z2 + -17z2

Combine like terms: 17z2 + -17z2 = 0
16 + Z4 + -17z2 = 0

Factor a trinomial.
(Z2 + -1z)(Z2 + 17z) = 0


Subproblem 1
Set the factor '(Z2 + -1z)' equal to zero and attempt to solve:

Simplifying
Z2 + -1z = 0

Solving
Z2 + -1z = 0

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

Add 'z' to each side of the equation.
Z2 + -1z + z = 0 + z

Combine like terms: -1z + z = 0
Z2 + 0 = 0 + z
Z2 = 0 + z
Remove the zero:
Z2 = z

Simplifying
Z2 = z

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 '(Z2 + 17z)' equal to zero and attempt to solve:

Simplifying
Z2 + 17z = 0

Solving
Z2 + 17z = 0

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

Add '-17z' to each side of the equation.
Z2 + 17z + -17z = 0 + -17z

Combine like terms: 17z + -17z = 0
Z2 + 0 = 0 + -17z
Z2 = 0 + -17z
Remove the zero:
Z2 = -17z

Simplifying
Z2 = -17z

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

See similar equations:

| 2x+2y-z=5 | | 6(a^2)b+7ab-3b=0 | | 15=-4a-5-6a | | -0.07x=3.5 | | 20(x^4)(y^2)+72(x^3)y+4x^2=0 | | 2k+7k=9 | | =6y^2(3y^3+5)-2y(y^4+10) | | 5V^2=17V-6 | | 27x^2+12xy=0 | | 0.04(2c-72)=-0.08(c-3) | | 4(2x+3x)=30 | | Z^4-17z+16=0 | | 37-16= | | 3(18+2)=4m | | 5x^2+245=0 | | -4y+12=-4(2y+6) | | 18x^5-8x^3=0 | | .4x-.5x=1 | | 2(7x-1)=6(25-4x) | | 144y^2+49=0 | | 3x-7x=32 | | 8x-4=44 | | -0.375m=-6 | | 8x^4+24x^3+40x^2=0 | | 3n^2-48n+192= | | 60t-50=15t-5 | | -4y^3+32y^2-60y=0 | | 8y^2+33y+4=0 | | 8+3c=16+4 | | 81m^4-1= | | 3x^2+18x+19=-5 | | x^6-16x^2= |

Equations solver categories