(z^2)-(3+i)*z+4+3*i=0

Simple and best practice solution for (z^2)-(3+i)*z+4+3*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)-(3+i)*z+4+3*i=0 equation: 


Simplifying
(z2) + -1(3 + i) * z + 4 + 3i = 0
z2 + -1(3 + i) * z + 4 + 3i = 0

Reorder the terms for easier multiplication:
z2 + -1z(3 + i) + 4 + 3i = 0
z2 + (3 * -1z + i * -1z) + 4 + 3i = 0

Reorder the terms:
z2 + (-1iz + -3z) + 4 + 3i = 0
z2 + (-1iz + -3z) + 4 + 3i = 0

Reorder the terms:
4 + 3i + -1iz + -3z + z2 = 0

Solving
4 + 3i + -1iz + -3z + z2 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + 3i + -1iz + -3z + -4 + z2 = 0 + -4

Reorder the terms:
4 + -4 + 3i + -1iz + -3z + z2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3i + -1iz + -3z + z2 = 0 + -4
3i + -1iz + -3z + z2 = 0 + -4

Combine like terms: 0 + -4 = -4
3i + -1iz + -3z + z2 = -4

Add '3z' to each side of the equation.
3i + -1iz + -3z + 3z + z2 = -4 + 3z

Combine like terms: -3z + 3z = 0
3i + -1iz + 0 + z2 = -4 + 3z
3i + -1iz + z2 = -4 + 3z

Add '-1z2' to each side of the equation.
3i + -1iz + z2 + -1z2 = -4 + 3z + -1z2

Combine like terms: z2 + -1z2 = 0
3i + -1iz + 0 = -4 + 3z + -1z2
3i + -1iz = -4 + 3z + -1z2

Reorder the terms:
4 + 3i + -1iz + -3z + z2 = -4 + 3z + -1z2 + 4 + -3z + z2

Reorder the terms:
4 + 3i + -1iz + -3z + z2 = -4 + 4 + 3z + -3z + -1z2 + z2

Combine like terms: -4 + 4 = 0
4 + 3i + -1iz + -3z + z2 = 0 + 3z + -3z + -1z2 + z2
4 + 3i + -1iz + -3z + z2 = 3z + -3z + -1z2 + z2

Combine like terms: 3z + -3z = 0
4 + 3i + -1iz + -3z + z2 = 0 + -1z2 + z2
4 + 3i + -1iz + -3z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
4 + 3i + -1iz + -3z + z2 = 0

The solution to this equation could not be determined.

See similar equations:

| 0=-16t^2-22t+180 | | 2x+2+3x-1=x+4 | | (3p+9m)=4p | | (.8)k-5=-7+(.4)k | | 2+(.5)(a-1)=-1 | | 3+(.5)(5x+2)=14 | | 10x-109=5x-14 | | 126-5x=13x+24 | | 5-.667(2k-1)=7 | | 3y-2y=12 | | 10(5x+7)=107 | | 2x^2+6x-208=0 | | 8(2x+6)=160 | | 2(x+x+3)=50 | | 0.8(1.6+2.7)-0.5= | | e^3x=5e^2x | | 50x+5=105 | | 3x-22xy+7y= | | 2+log(5)(x-2)=log(5)(15x) | | 5x-23=-66 | | 179-4x=23x+23 | | 19-4x=23x+23 | | -5x+16-8x^2+13= | | 2lnx^3+2lnx=y | | 0.5*e^2x=1 | | 5y^2-4y-2y^2= | | 5t^2-4y-2y^2= | | 2a-3=6a+2 | | 5p+2=7p-8 | | y+x^2-8x+12=0 | | 40x+(5x+1.5)=475 | | -2(-5)-4= |

Equations solver categories