z^2+(5+2i)z+(5+5i)=0

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


Simplifying
z2 + (5 + 2i) * z + (5 + 5i) = 0

Reorder the terms for easier multiplication:
z2 + z(5 + 2i) + (5 + 5i) = 0
z2 + (5 * z + 2i * z) + (5 + 5i) = 0

Reorder the terms:
z2 + (2iz + 5z) + (5 + 5i) = 0
z2 + (2iz + 5z) + (5 + 5i) = 0

Remove parenthesis around (5 + 5i)
z2 + 2iz + 5z + 5 + 5i = 0

Reorder the terms:
5 + 5i + 2iz + 5z + z2 = 0

Solving
5 + 5i + 2iz + 5z + 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 + 2iz + 5z + -5 + z2 = 0 + -5

Reorder the terms:
5 + -5 + 5i + 2iz + 5z + z2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 5i + 2iz + 5z + z2 = 0 + -5
5i + 2iz + 5z + z2 = 0 + -5

Combine like terms: 0 + -5 = -5
5i + 2iz + 5z + z2 = -5

Add '-5z' to each side of the equation.
5i + 2iz + 5z + -5z + z2 = -5 + -5z

Combine like terms: 5z + -5z = 0
5i + 2iz + 0 + z2 = -5 + -5z
5i + 2iz + z2 = -5 + -5z

Add '-1z2' to each side of the equation.
5i + 2iz + z2 + -1z2 = -5 + -5z + -1z2

Combine like terms: z2 + -1z2 = 0
5i + 2iz + 0 = -5 + -5z + -1z2
5i + 2iz = -5 + -5z + -1z2

Reorder the terms:
5 + 5i + 2iz + 5z + z2 = -5 + -5z + -1z2 + 5 + 5z + z2

Reorder the terms:
5 + 5i + 2iz + 5z + z2 = -5 + 5 + -5z + 5z + -1z2 + z2

Combine like terms: -5 + 5 = 0
5 + 5i + 2iz + 5z + z2 = 0 + -5z + 5z + -1z2 + z2
5 + 5i + 2iz + 5z + z2 = -5z + 5z + -1z2 + z2

Combine like terms: -5z + 5z = 0
5 + 5i + 2iz + 5z + z2 = 0 + -1z2 + z2
5 + 5i + 2iz + 5z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
5 + 5i + 2iz + 5z + z2 = 0

The solution to this equation could not be determined.

See similar equations:

| x+(x+36/5)=3/5 | | z^2+(2+4i)z+(2-8i)=0 | | 361.04-v^3*0.039+4v=0 | | X-.10=63 | | 0.5/2.5=x/10 | | 0.06x+0.09(10000-x)= | | X-22=22 | | t/4-3=12 | | (3x+6)*(x-4)=0 | | 5(x-1)-(x+3)=4 | | p=2b+2m | | x+(x+41)=-11 | | 8-cosx=0 | | x+(x+36)=6 | | -2x+4y-8=0 | | x-7/x3 | | 3.5x+7=14 | | 30x-10x=60 | | 3/4m+5=2 | | 7-e^6x=2 | | 2cos^2(5x)-1=0 | | 30x-10x=5 | | x+2/2=x+4/6 | | -3.5(10x-2)=-176.75 | | x-10/10=10-x/3 | | x/4=1-x | | 146=10x-8x | | 3x(6x-17)=x^2-34 | | 48-3u^2=0 | | 4/5x-18=-6 | | 2/3x-41/2=-8 | | 44/7x |

Equations solver categories