z^3+(5+i)*z^2+(4+5i)*z+4i=0

Simple and best practice solution for z^3+(5+i)*z^2+(4+5i)*z+4i=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+(5+i)*z^2+(4+5i)*z+4i=0 equation: 


Simplifying
z3 + (5 + i) * z2 + (4 + 5i) * z + 4i = 0

Reorder the terms for easier multiplication:
z3 + z2(5 + i) + (4 + 5i) * z + 4i = 0
z3 + (5 * z2 + i * z2) + (4 + 5i) * z + 4i = 0

Reorder the terms:
z3 + (iz2 + 5z2) + (4 + 5i) * z + 4i = 0
z3 + (iz2 + 5z2) + (4 + 5i) * z + 4i = 0

Reorder the terms for easier multiplication:
z3 + iz2 + 5z2 + z(4 + 5i) + 4i = 0
z3 + iz2 + 5z2 + (4 * z + 5i * z) + 4i = 0

Reorder the terms:
z3 + iz2 + 5z2 + (5iz + 4z) + 4i = 0
z3 + iz2 + 5z2 + (5iz + 4z) + 4i = 0

Reorder the terms:
4i + 5iz + iz2 + 4z + 5z2 + z3 = 0

Solving
4i + 5iz + iz2 + 4z + 5z2 + z3 = 0

Solving for variable 'i'.

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

Add '-4z' to each side of the equation.
4i + 5iz + iz2 + 4z + 5z2 + -4z + z3 = 0 + -4z

Reorder the terms:
4i + 5iz + iz2 + 4z + -4z + 5z2 + z3 = 0 + -4z

Combine like terms: 4z + -4z = 0
4i + 5iz + iz2 + 0 + 5z2 + z3 = 0 + -4z
4i + 5iz + iz2 + 5z2 + z3 = 0 + -4z
Remove the zero:
4i + 5iz + iz2 + 5z2 + z3 = -4z

Add '-5z2' to each side of the equation.
4i + 5iz + iz2 + 5z2 + -5z2 + z3 = -4z + -5z2

Combine like terms: 5z2 + -5z2 = 0
4i + 5iz + iz2 + 0 + z3 = -4z + -5z2
4i + 5iz + iz2 + z3 = -4z + -5z2

Add '-1z3' to each side of the equation.
4i + 5iz + iz2 + z3 + -1z3 = -4z + -5z2 + -1z3

Combine like terms: z3 + -1z3 = 0
4i + 5iz + iz2 + 0 = -4z + -5z2 + -1z3
4i + 5iz + iz2 = -4z + -5z2 + -1z3

Reorder the terms:
4i + 5iz + iz2 + 4z + 5z2 + z3 = -4z + 4z + -5z2 + 5z2 + -1z3 + z3

Combine like terms: -4z + 4z = 0
4i + 5iz + iz2 + 4z + 5z2 + z3 = 0 + -5z2 + 5z2 + -1z3 + z3
4i + 5iz + iz2 + 4z + 5z2 + z3 = -5z2 + 5z2 + -1z3 + z3

Combine like terms: -5z2 + 5z2 = 0
4i + 5iz + iz2 + 4z + 5z2 + z3 = 0 + -1z3 + z3
4i + 5iz + iz2 + 4z + 5z2 + z3 = -1z3 + z3

Combine like terms: -1z3 + z3 = 0
4i + 5iz + iz2 + 4z + 5z2 + z3 = 0

The solution to this equation could not be determined.

See similar equations:

| 3z-15=-21+z | | (3x)2=2 | | 4-144= | | 8x^2-7x-15=0 | | -7x-22=-162 | | -44=4+8x | | -2t=10 | | x^2+5x-5=4x-3 | | 7(3x-5)=5(x+2)+12 | | -5.5u+1.9=-2.2u-4.7 | | 1.3+(2.5)x=x+96.6 | | -7t=7 | | u-0.375u+0.625=0.25(u-2.5) | | 3(x-2)-5x=-3(x+2)+x | | 3(x-4)-4x=4(x-3)5x | | -8+8(2y+7)=7(4y+3)+5 | | 8(x+5)=-5(3+3x)+23x | | h(t)=-1.85t^2+20t+1 | | 6(x-3)=8(5+3x)-18x | | 0=-1.85t^2+20t+1 | | x+x+(x+54)=180 | | 8v-12=3v-17 | | -1.8(z+0.5)=0.2(z-18) | | x+x(x+54)=180 | | -5x-6=3(x+4)+6 | | -t+30=5t | | 5p^2+25p+30=0 | | 8+(-2n+2)=-3(4n-7)+5 | | 2x^3+5x^2-4x-3=0 | | x+0.5x=189 | | 2.9(z+0.5)=-2.9(z-16) | | x-0.9x=56 |

Equations solver categories