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

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


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

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

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

Remove parenthesis around (1 + 3i)
x2 + -2ix + -3x + 1 + 3i = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

See similar equations:

| 2n^2=9-2 | | 16x^3+16x^2+3x= | | 3x-10=10x-34 | | 3x+7=79-69 | | 2n^2=9n-2 | | -24.5=4.9k | | x+15+15=90 | | -184=4x-4(-3x+14) | | -10x+5=10x-10 | | 5x+7=4x-7 | | 8(x-3/4)-20=6 | | p^2-8pq-33q^2=0 | | x^2+y^2+4y-16=0 | | 5j-3j+2j= | | 4+8x=52+2x | | 8x-14=11x+10 | | -5m+m+5= | | x/^2=5 | | 20-3(x+5)= | | 2sec^2(x)+7sec(x)=4 | | 6x-27-32=0 | | 2m-4+8m+6=15m | | n!/(n-2)!=90 | | 18+5x=72-4x | | p^2-9=-20 | | x/^2=-6 | | 6x+15=-10+2x+13 | | n+14=26 | | 10c-8=33 | | M-1(1/2)=5/4 | | 6+7y+3=11y | | 15=3x-2(2x-2) |

Equations solver categories