z^2+(2i-3)z(5-i)=0

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


Simplifying
z2 + (2i + -3) * z(5 + -1i) = 0

Reorder the terms:
z2 + (-3 + 2i) * z(5 + -1i) = 0

Reorder the terms for easier multiplication:
z2 + z(-3 + 2i)(5 + -1i) = 0

Multiply (-3 + 2i) * (5 + -1i)
z2 + z(-3(5 + -1i) + 2i * (5 + -1i)) = 0
z2 + z((5 * -3 + -1i * -3) + 2i * (5 + -1i)) = 0
z2 + z((-15 + 3i) + 2i * (5 + -1i)) = 0
z2 + z(-15 + 3i + (5 * 2i + -1i * 2i)) = 0
z2 + z(-15 + 3i + (10i + -2i2)) = 0

Combine like terms: 3i + 10i = 13i
z2 + z(-15 + 13i + -2i2) = 0
z2 + (-15 * z + 13i * z + -2i2 * z) = 0

Reorder the terms:
z2 + (13iz + -2i2z + -15z) = 0
z2 + (13iz + -2i2z + -15z) = 0

Reorder the terms:
13iz + -2i2z + -15z + z2 = 0

Solving
13iz + -2i2z + -15z + z2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(13i + -2i2 + -15 + z) = 0


Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Add '-1z' to each side of the equation.
z + -1z = 0 + -1z
Remove the zero:
0 = -1z

Simplifying
0 = -1z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(13i + -2i2 + -15 + z)' equal to zero and attempt to solve:

Simplifying
13i + -2i2 + -15 + z = 0

Reorder the terms:
-15 + 13i + -2i2 + z = 0

Solving
-15 + 13i + -2i2 + z = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 1/2y-6=-8 | | 14r=84 | | 6*7-9*3= | | 3(x-4)=5y | | 15(x-6)=-8-7 | | f(t)=7*cos(7*t+1)+6 | | 2x+(x-10)2=58 | | 72a^3-98ab^2= | | 4*27+6*3= | | (4m+2)(m+8)= | | 6/15=x/20 | | 6*6-7*1= | | 8x-7y=-21 | | x^9-25x^7+144x^5=0 | | x^5-25x^7+144x^5=0 | | 10x-1=3x+20 | | 2*1+2(11-7)+7= | | -6x+4y=-4 | | z^2-38=11 | | 18x^2-18w+18= | | 5x+2=-3+3x+13 | | 3t+5-7t-2= | | 3x^2+8x+16= | | 4.5=2(x+4)-8 | | -3/2(x-1/3)1/5-5x | | 0.2(x+20)+1.4x=68 | | p^2=32/49 | | 125x^3y^5z^4-5xy^3z^6= | | ln(x)^1/6 | | 5x-16=-46 | | 3-2(3h+2)=4-(2h+1) | | (2x/5)-3=x+9 |

Equations solver categories