z^2-(8-5i)z+40-20i=0

Simple and best practice solution for z^2-(8-5i)z+40-20i=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-(8-5i)z+40-20i=0 equation: 


Simplifying
z2 + -1(8 + -5i) * z + 40 + -20i = 0

Reorder the terms for easier multiplication:
z2 + -1z(8 + -5i) + 40 + -20i = 0
z2 + (8 * -1z + -5i * -1z) + 40 + -20i = 0

Reorder the terms:
z2 + (5iz + -8z) + 40 + -20i = 0
z2 + (5iz + -8z) + 40 + -20i = 0

Reorder the terms:
40 + -20i + 5iz + -8z + z2 = 0

Solving
40 + -20i + 5iz + -8z + z2 = 0

Solving for variable 'i'.

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

Add '-40' to each side of the equation.
40 + -20i + 5iz + -8z + -40 + z2 = 0 + -40

Reorder the terms:
40 + -40 + -20i + 5iz + -8z + z2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -20i + 5iz + -8z + z2 = 0 + -40
-20i + 5iz + -8z + z2 = 0 + -40

Combine like terms: 0 + -40 = -40
-20i + 5iz + -8z + z2 = -40

Add '8z' to each side of the equation.
-20i + 5iz + -8z + 8z + z2 = -40 + 8z

Combine like terms: -8z + 8z = 0
-20i + 5iz + 0 + z2 = -40 + 8z
-20i + 5iz + z2 = -40 + 8z

Add '-1z2' to each side of the equation.
-20i + 5iz + z2 + -1z2 = -40 + 8z + -1z2

Combine like terms: z2 + -1z2 = 0
-20i + 5iz + 0 = -40 + 8z + -1z2
-20i + 5iz = -40 + 8z + -1z2

Reorder the terms:
40 + -20i + 5iz + -8z + z2 = -40 + 8z + -1z2 + 40 + -8z + z2

Reorder the terms:
40 + -20i + 5iz + -8z + z2 = -40 + 40 + 8z + -8z + -1z2 + z2

Combine like terms: -40 + 40 = 0
40 + -20i + 5iz + -8z + z2 = 0 + 8z + -8z + -1z2 + z2
40 + -20i + 5iz + -8z + z2 = 8z + -8z + -1z2 + z2

Combine like terms: 8z + -8z = 0
40 + -20i + 5iz + -8z + z2 = 0 + -1z2 + z2
40 + -20i + 5iz + -8z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
40 + -20i + 5iz + -8z + z2 = 0

The solution to this equation could not be determined.

See similar equations:

| 3x-1+121=180 | | 3x+2+2x=12 | | 7/3=b/18 | | 3+8=-27-4x | | X-88=8(2x+3)-22 | | -6(6x-7)=222 | | 2x-4(-6x-7)=-24 | | -10.68+13.5w=14.7w+10.8 | | √1-329^2/271^2 | | -4(x+7)+34=10-5x | | 3.3y-16.85-4.4y=-0.9y-13.19 | | 5y-(2y-10)=20 | | 6(x+6)-6=66-3x | | (7x+1)=180 | | 5xdy=3ydx | | 4t+22=8t-10 | | 3x+4000y=1 | | 2.4=4.6+0.02z | | -14.7j-0.07=-0.07+2.9j | | abs(5w+8)=abs(5w+7) | | -7n-8(1+3n)=-163 | | 10x=5(x+3) | | 7y+10=11y+12 | | 4f=2.8 | | 17.3p=9.31+18p | | -11n+15=-16n-5 | | X^2-9=x^2+rx+t | | 18(9x+19)=-36(x-2) | | 20+20+7r=12r-20 | | -18-4u=-5u | | 2(x+3)-5(x-2)=4 | | 7/8m-m |

Equations solver categories