Z^2-(5-14i)z-2(5i+12)=0

Simple and best practice solution for Z^2-(5-14i)z-2(5i+12)=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-(5-14i)z-2(5i+12)=0 equation: 


Simplifying
Z2 + -1(5 + -14i) * z + -2(5i + 12) = 0

Reorder the terms for easier multiplication:
Z2 + -1z(5 + -14i) + -2(5i + 12) = 0
Z2 + (5 * -1z + -14i * -1z) + -2(5i + 12) = 0

Reorder the terms:
Z2 + (14iz + -5z) + -2(5i + 12) = 0
Z2 + (14iz + -5z) + -2(5i + 12) = 0

Reorder the terms:
Z2 + 14iz + -5z + -2(12 + 5i) = 0
Z2 + 14iz + -5z + (12 * -2 + 5i * -2) = 0
Z2 + 14iz + -5z + (-24 + -10i) = 0

Reorder the terms:
-24 + Z2 + -10i + 14iz + -5z = 0

Solving
-24 + Z2 + -10i + 14iz + -5z = 0

Solving for variable 'Z'.

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

Add '24' to each side of the equation.
-24 + Z2 + -10i + 14iz + 24 + -5z = 0 + 24

Reorder the terms:
-24 + 24 + Z2 + -10i + 14iz + -5z = 0 + 24

Combine like terms: -24 + 24 = 0
0 + Z2 + -10i + 14iz + -5z = 0 + 24
Z2 + -10i + 14iz + -5z = 0 + 24

Combine like terms: 0 + 24 = 24
Z2 + -10i + 14iz + -5z = 24

Add '10i' to each side of the equation.
Z2 + -10i + 14iz + 10i + -5z = 24 + 10i

Reorder the terms:
Z2 + -10i + 10i + 14iz + -5z = 24 + 10i

Combine like terms: -10i + 10i = 0
Z2 + 0 + 14iz + -5z = 24 + 10i
Z2 + 14iz + -5z = 24 + 10i

Add '-14iz' to each side of the equation.
Z2 + 14iz + -14iz + -5z = 24 + 10i + -14iz

Combine like terms: 14iz + -14iz = 0
Z2 + 0 + -5z = 24 + 10i + -14iz
Z2 + -5z = 24 + 10i + -14iz

Add '5z' to each side of the equation.
Z2 + -5z + 5z = 24 + 10i + -14iz + 5z

Combine like terms: -5z + 5z = 0
Z2 + 0 = 24 + 10i + -14iz + 5z
Z2 = 24 + 10i + -14iz + 5z

Simplifying
Z2 = 24 + 10i + -14iz + 5z

Reorder the terms:
-24 + Z2 + -10i + 14iz + -5z = 24 + 10i + -14iz + 5z + -24 + -10i + 14iz + -5z

Reorder the terms:
-24 + Z2 + -10i + 14iz + -5z = 24 + -24 + 10i + -10i + -14iz + 14iz + 5z + -5z

Combine like terms: 24 + -24 = 0
-24 + Z2 + -10i + 14iz + -5z = 0 + 10i + -10i + -14iz + 14iz + 5z + -5z
-24 + Z2 + -10i + 14iz + -5z = 10i + -10i + -14iz + 14iz + 5z + -5z

Combine like terms: 10i + -10i = 0
-24 + Z2 + -10i + 14iz + -5z = 0 + -14iz + 14iz + 5z + -5z
-24 + Z2 + -10i + 14iz + -5z = -14iz + 14iz + 5z + -5z

Combine like terms: -14iz + 14iz = 0
-24 + Z2 + -10i + 14iz + -5z = 0 + 5z + -5z
-24 + Z2 + -10i + 14iz + -5z = 5z + -5z

Combine like terms: 5z + -5z = 0
-24 + Z2 + -10i + 14iz + -5z = 0

The solution to this equation could not be determined.

See similar equations:

| 0.2x=1.1 | | 2A+B-3C= | | 0.3x^2-4x+11=0 | | 0.3x^2-4x+13=0 | | 4(5b+1)=-36 | | 4(5b+1)=36 | | (2*x+y)dx+(x-y)dy=0 | | x^3-10x+1=0 | | 5-12x-2x=p-q(r^2+2rx+x^2) | | 12g+7=21+g | | 25-4x-xy=0 | | 9-9x=1-x | | elnx+lnex=8 | | =0.2*x-1-100*x^2 | | 4x+14=-46+6x | | 24=4log(3x)+5 | | Ay=bx+c | | 2x+8=9x-59 | | 0.3(4x-1)+2.3=1.1x-27 | | 12x+7=21 | | 8cosx+15sinx=-11 | | 3+5(x+2)=13 | | (2x+1)+(3x+3)= | | 5(x-1)=2x+8 | | 2(4x-7)-3(x-4)=11 | | 6x+11=18-x | | (60-3x)*2=60-x | | 4x^4+7x=2 | | 16x+20=22x-8 | | 120-2x=60-3x | | 17+4y=97+2y | | m(n+1)-n(m-1)= |

Equations solver categories