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

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


Simplifying
x2 + (2 + 3i) * x + -1 + 3i = 0

Reorder the terms for easier multiplication:
x2 + x(2 + 3i) + -1 + 3i = 0
x2 + (2 * x + 3i * x) + -1 + 3i = 0

Reorder the terms:
x2 + (3ix + 2x) + -1 + 3i = 0
x2 + (3ix + 2x) + -1 + 3i = 0

Reorder the terms:
-1 + 3i + 3ix + 2x + x2 = 0

Solving
-1 + 3i + 3ix + 2x + x2 = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 3i + 3ix + 2x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + 3i + 3ix + 2x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3i + 3ix + 2x + x2 = 0 + 1
3i + 3ix + 2x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
3i + 3ix + 2x + x2 = 1

Add '-2x' to each side of the equation.
3i + 3ix + 2x + -2x + x2 = 1 + -2x

Combine like terms: 2x + -2x = 0
3i + 3ix + 0 + x2 = 1 + -2x
3i + 3ix + x2 = 1 + -2x

Add '-1x2' to each side of the equation.
3i + 3ix + x2 + -1x2 = 1 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
3i + 3ix + 0 = 1 + -2x + -1x2
3i + 3ix = 1 + -2x + -1x2

Reorder the terms:
-1 + 3i + 3ix + 2x + x2 = 1 + -2x + -1x2 + -1 + 2x + x2

Reorder the terms:
-1 + 3i + 3ix + 2x + x2 = 1 + -1 + -2x + 2x + -1x2 + x2

Combine like terms: 1 + -1 = 0
-1 + 3i + 3ix + 2x + x2 = 0 + -2x + 2x + -1x2 + x2
-1 + 3i + 3ix + 2x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
-1 + 3i + 3ix + 2x + x2 = 0 + -1x2 + x2
-1 + 3i + 3ix + 2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1 + 3i + 3ix + 2x + x2 = 0

The solution to this equation could not be determined.

See similar equations:

| M^6-16m^364=0 | | x+y=bj | | 7n-5=21-5 | | 3/8x-2=1/4x | | 2.4x^2-5.1=12.7 | | 6x^2+6x+20=0 | | x+7x+15=29x+18 | | .8x+1.6=.6-.2x | | 3n+15=60 | | 6x^2-6x+20=0 | | -(6-t)=-14 | | 12c=3+11c | | -3(7x-9)=-204 | | 2.4x-5.1=12.7 | | y=-2/3cos(×-2^) | | -3.1x+5x=-7.6 | | 2-3(3-x)=5 | | 3x+5+x+10+2y= | | (x/(75-x))=4.875 | | 6(3x+7y-2)= | | 0.75g=0.625 | | 5x+7=21+5x | | 6(5+2x)=78 | | (x/(75-x)=4.875 | | 3.1x+5x=7.6 | | 2-3(3+x)=5 | | 6.2r-3.1=27.9 | | 5x-6.65=20.1 | | 9n-16=6n+92 | | -3z^3-6z^2-4z^2+4= | | 20=-20b | | 2(x*17)=48 |

Equations solver categories