z^4-(3+6i)z^3-8+6i=0

Simple and best practice solution for z^4-(3+6i)z^3-8+6i=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^4-(3+6i)z^3-8+6i=0 equation: 


Simplifying
z4 + -1(3 + 6i) * z3 + -8 + 6i = 0

Reorder the terms for easier multiplication:
z4 + -1z3(3 + 6i) + -8 + 6i = 0
z4 + (3 * -1z3 + 6i * -1z3) + -8 + 6i = 0

Reorder the terms:
z4 + (-6iz3 + -3z3) + -8 + 6i = 0
z4 + (-6iz3 + -3z3) + -8 + 6i = 0

Reorder the terms:
-8 + 6i + -6iz3 + -3z3 + z4 = 0

Solving
-8 + 6i + -6iz3 + -3z3 + z4 = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 6i + -6iz3 + -3z3 + 8 + z4 = 0 + 8

Reorder the terms:
-8 + 8 + 6i + -6iz3 + -3z3 + z4 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 6i + -6iz3 + -3z3 + z4 = 0 + 8
6i + -6iz3 + -3z3 + z4 = 0 + 8

Combine like terms: 0 + 8 = 8
6i + -6iz3 + -3z3 + z4 = 8

Add '3z3' to each side of the equation.
6i + -6iz3 + -3z3 + 3z3 + z4 = 8 + 3z3

Combine like terms: -3z3 + 3z3 = 0
6i + -6iz3 + 0 + z4 = 8 + 3z3
6i + -6iz3 + z4 = 8 + 3z3

Add '-1z4' to each side of the equation.
6i + -6iz3 + z4 + -1z4 = 8 + 3z3 + -1z4

Combine like terms: z4 + -1z4 = 0
6i + -6iz3 + 0 = 8 + 3z3 + -1z4
6i + -6iz3 = 8 + 3z3 + -1z4

Reorder the terms:
-8 + 6i + -6iz3 + -3z3 + z4 = 8 + 3z3 + -1z4 + -8 + -3z3 + z4

Reorder the terms:
-8 + 6i + -6iz3 + -3z3 + z4 = 8 + -8 + 3z3 + -3z3 + -1z4 + z4

Combine like terms: 8 + -8 = 0
-8 + 6i + -6iz3 + -3z3 + z4 = 0 + 3z3 + -3z3 + -1z4 + z4
-8 + 6i + -6iz3 + -3z3 + z4 = 3z3 + -3z3 + -1z4 + z4

Combine like terms: 3z3 + -3z3 = 0
-8 + 6i + -6iz3 + -3z3 + z4 = 0 + -1z4 + z4
-8 + 6i + -6iz3 + -3z3 + z4 = -1z4 + z4

Combine like terms: -1z4 + z4 = 0
-8 + 6i + -6iz3 + -3z3 + z4 = 0

The solution to this equation could not be determined.

See similar equations:

| -7(x+8)+8=-48 | | 4v-7m=7 | | 21x+14=16x+34 | | -0.7x+1.45=-0.5x+1.85 | | -1/4(-x-2)=3x-11/4x-4 | | 4m-5n=3 | | 4/4/5-4/5/4 | | 8(x+1)+5=4x+4(4+x) | | 8b+xb=3a | | 8x+bx=3a | | 3a=bx+8x | | ln(6x)-5=0 | | 8x+9=6x+31 | | 15w^2-10w/5w^2-35w | | -4(t-5)+9t=8t-4 | | 1/2bx=d | | 6(4x+8)+7=24x-41 | | g^2+11g=152 | | bx+8x=3a | | 4*5(b-3)=15 | | 70=x+2(x)(x+2) | | -4x+16=24+x | | r^3+r^2+4r+30=0 | | -6(x-6)-3=-39 | | cos(x/6)cos(x/3) | | F(x)=3x^5+7 | | log(5)(x+16)-log(5)(x-8)=2 | | 2x-1+6=x | | 12/24=18/m | | -3m+7=-11 | | 3x^2+84-560=0 | | 7x^2+20x-7=0 |

Equations solver categories