z^3-(2i-1)z^2+(3-2i)z+3=0

Simple and best practice solution for z^3-(2i-1)z^2+(3-2i)z+3=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^3-(2i-1)z^2+(3-2i)z+3=0 equation: 


Simplifying
z3 + -1(2i + -1) * z2 + (3 + -2i) * z + 3 = 0

Reorder the terms:
z3 + -1(-1 + 2i) * z2 + (3 + -2i) * z + 3 = 0

Reorder the terms for easier multiplication:
z3 + -1z2(-1 + 2i) + (3 + -2i) * z + 3 = 0
z3 + (-1 * -1z2 + 2i * -1z2) + (3 + -2i) * z + 3 = 0

Reorder the terms:
z3 + (-2iz2 + 1z2) + (3 + -2i) * z + 3 = 0
z3 + (-2iz2 + 1z2) + (3 + -2i) * z + 3 = 0

Reorder the terms for easier multiplication:
z3 + -2iz2 + 1z2 + z(3 + -2i) + 3 = 0
z3 + -2iz2 + 1z2 + (3 * z + -2i * z) + 3 = 0

Reorder the terms:
z3 + -2iz2 + 1z2 + (-2iz + 3z) + 3 = 0
z3 + -2iz2 + 1z2 + (-2iz + 3z) + 3 = 0

Reorder the terms:
3 + -2iz + -2iz2 + 3z + 1z2 + z3 = 0

Solving
3 + -2iz + -2iz2 + 3z + 1z2 + z3 = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -2iz + -2iz2 + 3z + 1z2 + -3 + z3 = 0 + -3

Reorder the terms:
3 + -3 + -2iz + -2iz2 + 3z + 1z2 + z3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2iz + -2iz2 + 3z + 1z2 + z3 = 0 + -3
-2iz + -2iz2 + 3z + 1z2 + z3 = 0 + -3

Combine like terms: 0 + -3 = -3
-2iz + -2iz2 + 3z + 1z2 + z3 = -3

Add '-3z' to each side of the equation.
-2iz + -2iz2 + 3z + 1z2 + -3z + z3 = -3 + -3z

Reorder the terms:
-2iz + -2iz2 + 3z + -3z + 1z2 + z3 = -3 + -3z

Combine like terms: 3z + -3z = 0
-2iz + -2iz2 + 0 + 1z2 + z3 = -3 + -3z
-2iz + -2iz2 + 1z2 + z3 = -3 + -3z

Add '-1z2' to each side of the equation.
-2iz + -2iz2 + 1z2 + -1z2 + z3 = -3 + -3z + -1z2

Combine like terms: 1z2 + -1z2 = 0
-2iz + -2iz2 + 0 + z3 = -3 + -3z + -1z2
-2iz + -2iz2 + z3 = -3 + -3z + -1z2

Add '-1z3' to each side of the equation.
-2iz + -2iz2 + z3 + -1z3 = -3 + -3z + -1z2 + -1z3

Combine like terms: z3 + -1z3 = 0
-2iz + -2iz2 + 0 = -3 + -3z + -1z2 + -1z3
-2iz + -2iz2 = -3 + -3z + -1z2 + -1z3

Reorder the terms:
3 + -2iz + -2iz2 + 3z + z2 + z3 = -3 + -3z + -1z2 + -1z3 + 3 + 3z + z2 + z3

Reorder the terms:
3 + -2iz + -2iz2 + 3z + z2 + z3 = -3 + 3 + -3z + 3z + -1z2 + z2 + -1z3 + z3

Combine like terms: -3 + 3 = 0
3 + -2iz + -2iz2 + 3z + z2 + z3 = 0 + -3z + 3z + -1z2 + z2 + -1z3 + z3
3 + -2iz + -2iz2 + 3z + z2 + z3 = -3z + 3z + -1z2 + z2 + -1z3 + z3

Combine like terms: -3z + 3z = 0
3 + -2iz + -2iz2 + 3z + z2 + z3 = 0 + -1z2 + z2 + -1z3 + z3
3 + -2iz + -2iz2 + 3z + z2 + z3 = -1z2 + z2 + -1z3 + z3

Combine like terms: -1z2 + z2 = 0
3 + -2iz + -2iz2 + 3z + z2 + z3 = 0 + -1z3 + z3
3 + -2iz + -2iz2 + 3z + z2 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
3 + -2iz + -2iz2 + 3z + z2 + z3 = 0

The solution to this equation could not be determined.

See similar equations:

| X+35=2x+37 | | 2x(5-2)=6 | | 12overy=4 | | (2*(-j))+(-3+j)(-0.707-0.707j)=0 | | (-2*(-j))+(-3-j)(0.707-0.707j)=0 | | 2X-5y+8=0 | | 7x+6+8=0 | | 30x-5=40 | | 3x^2+11x=20+y | | 7/45x=91/45 | | 3x^2+11=20+y | | (2x+1)day=(y-1)dx | | (-2-j)+(-3-j)(0.707-0.707j)=0 | | 2x+9=35-9x | | (2x^2)+(2y^2)=3 | | y=2xln(1+x) | | 4x-3=7+x | | -9z=6 | | Y+8y-9y=0 | | 4/x=0.25 | | 10.5-9.2m=-36.42 | | 7/5y=28/15 | | 27^(3x-4)=1/9 | | (1-j)+(1-j)(0.707-0.707j)=0 | | |x+1|+x+1=0 | | 257x+207x^3-321x^2=95 | | 900=120x^2-x^3 | | y[n]-0.5y[n-1]=0.5x[n] | | y=xsinx-x^1/2 | | 7x-40=18 | | (9x^2-6x+1)*(9x^2-12x-5)= | | (9x^2+15x-20)*(9x^2-10x+5)= |

Equations solver categories