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

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


Simplifying
Z2 + -1(i + 1) * z + i = 0

Reorder the terms:
Z2 + -1(1 + i) * z + i = 0

Reorder the terms for easier multiplication:
Z2 + -1z(1 + i) + i = 0
Z2 + (1 * -1z + i * -1z) + i = 0

Reorder the terms:
Z2 + (-1iz + -1z) + i = 0
Z2 + (-1iz + -1z) + i = 0

Reorder the terms:
Z2 + i + -1iz + -1z = 0

Solving
Z2 + i + -1iz + -1z = 0

Solving for variable 'Z'.

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

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

Reorder the terms:
Z2 + i + -1i + -1iz + -1z = 0 + -1i

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

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

Combine like terms: -1iz + iz = 0
Z2 + 0 + -1z = -1i + iz
Z2 + -1z = -1i + iz

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

Combine like terms: -1z + z = 0
Z2 + 0 = -1i + iz + z
Z2 = -1i + iz + z

Simplifying
Z2 = -1i + iz + z

Reorder the terms:
Z2 + i + -1iz + -1z = -1i + i + iz + -1iz + z + -1z

Combine like terms: -1i + i = 0
Z2 + i + -1iz + -1z = 0 + iz + -1iz + z + -1z
Z2 + i + -1iz + -1z = iz + -1iz + z + -1z

Combine like terms: iz + -1iz = 0
Z2 + i + -1iz + -1z = 0 + z + -1z
Z2 + i + -1iz + -1z = z + -1z

Combine like terms: z + -1z = 0
Z2 + i + -1iz + -1z = 0

The solution to this equation could not be determined.

See similar equations:

| 5x*9-7=3 | | 12-5(3(-1)+2)=17 | | 9(2n)-3=4-6(3n-5) | | 3x^2-36x-27=0 | | 4m+4+7m=13+8m | | 11(-3x-2)-2(1-5x)=-7x-6x | | 5345+n=288195 | | m+3(4)=7 | | F(-3)=2x+4 | | .66m+2=1m-3 | | 53435+n=2888195 | | 4x-2(x-4)=-7+5x-6 | | 47.39=9g+3.92 | | 6+-4+2(6)=14 | | 2(4-8)=16 | | 39+7a=-6(-6a+8) | | 3-2m+3=1-2m+6 | | 14(27-92)=37 | | 90=(3x+6)+(7x+18) | | 7(d-2)=5(d+2)-2 | | 2x+1y=11 | | 6x-10y-2y+7x+9= | | x+17+2=2x+30 | | 2a-6=2(a+1)+8a+3 | | -(4x-5)=13-28 | | x+17+1=2x+30 | | 2(v-1)=8v+1-3(-3v-5) | | 0.2x=18 | | 5t^2+20t+4=0 | | (4x+9)= | | 4x+10+2x+20=90 | | x+17+1=2x+20 |

Equations solver categories