z^2+(-1-4i)z+(5+5i)=0

Simple and best practice solution for z^2+(-1-4i)z+(5+5i)=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+(-1-4i)z+(5+5i)=0 equation: 


Simplifying
z2 + (-1 + -4i) * z + (5 + 5i) = 0

Reorder the terms for easier multiplication:
z2 + z(-1 + -4i) + (5 + 5i) = 0
z2 + (-1 * z + -4i * z) + (5 + 5i) = 0

Reorder the terms:
z2 + (-4iz + -1z) + (5 + 5i) = 0
z2 + (-4iz + -1z) + (5 + 5i) = 0

Remove parenthesis around (5 + 5i)
z2 + -4iz + -1z + 5 + 5i = 0

Reorder the terms:
5 + 5i + -4iz + -1z + z2 = 0

Solving
5 + 5i + -4iz + -1z + z2 = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + 5i + -4iz + -1z + -5 + z2 = 0 + -5

Reorder the terms:
5 + -5 + 5i + -4iz + -1z + z2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 5i + -4iz + -1z + z2 = 0 + -5
5i + -4iz + -1z + z2 = 0 + -5

Combine like terms: 0 + -5 = -5
5i + -4iz + -1z + z2 = -5

Add 'z' to each side of the equation.
5i + -4iz + -1z + z + z2 = -5 + z

Combine like terms: -1z + z = 0
5i + -4iz + 0 + z2 = -5 + z
5i + -4iz + z2 = -5 + z

Add '-1z2' to each side of the equation.
5i + -4iz + z2 + -1z2 = -5 + z + -1z2

Combine like terms: z2 + -1z2 = 0
5i + -4iz + 0 = -5 + z + -1z2
5i + -4iz = -5 + z + -1z2

Reorder the terms:
5 + 5i + -4iz + -1z + z2 = -5 + z + -1z2 + 5 + -1z + z2

Reorder the terms:
5 + 5i + -4iz + -1z + z2 = -5 + 5 + z + -1z + -1z2 + z2

Combine like terms: -5 + 5 = 0
5 + 5i + -4iz + -1z + z2 = 0 + z + -1z + -1z2 + z2
5 + 5i + -4iz + -1z + z2 = z + -1z + -1z2 + z2

Combine like terms: z + -1z = 0
5 + 5i + -4iz + -1z + z2 = 0 + -1z2 + z2
5 + 5i + -4iz + -1z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
5 + 5i + -4iz + -1z + z2 = 0

The solution to this equation could not be determined.

See similar equations:

| 56/(14-x)=100 | | 814.2279x-360y=0 | | 8/100-2/10 | | 3x-6=6x-24 | | (3/2a-3/4b)2 | | 2x^2+2x-84= | | 15/7-7x=9 | | 2x^2+3n-9=0 | | E+10.6=11.0 | | 7.8+d=9.5 | | (9+2h)+(8-5h)= | | x+.15x=2 | | p^2+p-56= | | -20m+20=20 | | C-2.9=1.7 | | -20m+20=20.2 | | -2.9=1.7 | | -16t^2+165t= | | x^2-7x-18=9 | | 8-5c=-2 | | B+12.5=13.4 | | X+32=-25 | | 0=x^4+8x^3+16x | | 2bd^2-2db^2= | | 12x-72=3x | | -16t^2+150t= | | 2x^4-11x^2-30=0 | | 12+132=12x-100 | | y=-2+1x | | 5n^2+41n+42= | | (-6+a)=9 | | 5a^2-49a+72= |

Equations solver categories