Z^3-(1-i)z^2+z-1+i=0

Simple and best practice solution for Z^3-(1-i)z^2+z-1+i=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^3-(1-i)z^2+z-1+i=0 equation: 


Simplifying
Z3 + -1(1 + -1i) * z2 + z + -1 + i = 0

Reorder the terms for easier multiplication:
Z3 + -1z2(1 + -1i) + z + -1 + i = 0
Z3 + (1 * -1z2 + -1i * -1z2) + z + -1 + i = 0

Reorder the terms:
Z3 + (1iz2 + -1z2) + z + -1 + i = 0
Z3 + (1iz2 + -1z2) + z + -1 + i = 0

Reorder the terms:
-1 + Z3 + i + 1iz2 + z + -1z2 = 0

Solving
-1 + Z3 + i + 1iz2 + z + -1z2 = 0

Solving for variable 'Z'.

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

Add '1' to each side of the equation.
-1 + Z3 + i + 1iz2 + z + 1 + -1z2 = 0 + 1

Reorder the terms:
-1 + 1 + Z3 + i + 1iz2 + z + -1z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + Z3 + i + 1iz2 + z + -1z2 = 0 + 1
Z3 + i + 1iz2 + z + -1z2 = 0 + 1

Combine like terms: 0 + 1 = 1
Z3 + i + 1iz2 + z + -1z2 = 1

Add '-1i' to each side of the equation.
Z3 + i + 1iz2 + z + -1i + -1z2 = 1 + -1i

Reorder the terms:
Z3 + i + -1i + 1iz2 + z + -1z2 = 1 + -1i

Combine like terms: i + -1i = 0
Z3 + 0 + 1iz2 + z + -1z2 = 1 + -1i
Z3 + 1iz2 + z + -1z2 = 1 + -1i

Add '-1iz2' to each side of the equation.
Z3 + 1iz2 + z + -1iz2 + -1z2 = 1 + -1i + -1iz2

Reorder the terms:
Z3 + 1iz2 + -1iz2 + z + -1z2 = 1 + -1i + -1iz2

Combine like terms: 1iz2 + -1iz2 = 0
Z3 + 0 + z + -1z2 = 1 + -1i + -1iz2
Z3 + z + -1z2 = 1 + -1i + -1iz2

Add '-1z' to each side of the equation.
Z3 + z + -1z + -1z2 = 1 + -1i + -1iz2 + -1z

Combine like terms: z + -1z = 0
Z3 + 0 + -1z2 = 1 + -1i + -1iz2 + -1z
Z3 + -1z2 = 1 + -1i + -1iz2 + -1z

Add 'z2' to each side of the equation.
Z3 + -1z2 + z2 = 1 + -1i + -1iz2 + -1z + z2

Combine like terms: -1z2 + z2 = 0
Z3 + 0 = 1 + -1i + -1iz2 + -1z + z2
Z3 = 1 + -1i + -1iz2 + -1z + z2

Simplifying
Z3 = 1 + -1i + -1iz2 + -1z + z2

Reorder the terms:
-1 + Z3 + i + iz2 + z + -1z2 = 1 + -1i + -1iz2 + -1z + z2 + -1 + i + iz2 + z + -1z2

Reorder the terms:
-1 + Z3 + i + iz2 + z + -1z2 = 1 + -1 + -1i + i + -1iz2 + iz2 + -1z + z + z2 + -1z2

Combine like terms: 1 + -1 = 0
-1 + Z3 + i + iz2 + z + -1z2 = 0 + -1i + i + -1iz2 + iz2 + -1z + z + z2 + -1z2
-1 + Z3 + i + iz2 + z + -1z2 = -1i + i + -1iz2 + iz2 + -1z + z + z2 + -1z2

Combine like terms: -1i + i = 0
-1 + Z3 + i + iz2 + z + -1z2 = 0 + -1iz2 + iz2 + -1z + z + z2 + -1z2
-1 + Z3 + i + iz2 + z + -1z2 = -1iz2 + iz2 + -1z + z + z2 + -1z2

Combine like terms: -1iz2 + iz2 = 0
-1 + Z3 + i + iz2 + z + -1z2 = 0 + -1z + z + z2 + -1z2
-1 + Z3 + i + iz2 + z + -1z2 = -1z + z + z2 + -1z2

Combine like terms: -1z + z = 0
-1 + Z3 + i + iz2 + z + -1z2 = 0 + z2 + -1z2
-1 + Z3 + i + iz2 + z + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-1 + Z3 + i + iz2 + z + -1z2 = 0

The solution to this equation could not be determined.

See similar equations:

| 3x^4-8x^2=0 | | 11x-37= | | 6x^2-18x+10=0 | | 2/3(15-9x)-3/4(12-8x) | | -4(x-2)+14=x+37 | | 5x+2-x+10=36 | | x+(21-1y)=13 | | x^2=13/25 | | x+(13-1y)=21 | | 50x+30x=600 | | (13-1y)+y=21 | | (x^2-x*y)dy+y^2dx=0 | | 7x+14y=378 | | -210=6(11v-2) | | 2(6e-4)=172 | | 4(6p+8)=8 | | 4(6p+8)=8 | | -2m^2+10m= | | 18=2(8q+1) | | 8y^2+2xy-x^2-9=0 | | 16=4(5z-6) | | 2(5i+2)=4 | | 16=2(2k-4) | | 2(2e+2)=12 | | 3(3r+2)=15 | | 3(3r+2)=15 | | 2=2(2r-1) | | 35.20/5×18/5 | | 35/5×18/5 | | 3=3(2m+1) | | w^2=16x^6y^2 | | -2=2(2p+1) |

Equations solver categories