(3x-i)(2+i)+(x-iy)(1+2y)=5+6i

Simple and best practice solution for (3x-i)(2+i)+(x-iy)(1+2y)=5+6i 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 (3x-i)(2+i)+(x-iy)(1+2y)=5+6i equation: 


Simplifying
(3x + -1i)(2 + i) + (x + -1iy)(1 + 2y) = 5 + 6i

Reorder the terms:
(-1i + 3x)(2 + i) + (x + -1iy)(1 + 2y) = 5 + 6i

Multiply (-1i + 3x) * (2 + i)
(-1i * (2 + i) + 3x * (2 + i)) + (x + -1iy)(1 + 2y) = 5 + 6i
((2 * -1i + i * -1i) + 3x * (2 + i)) + (x + -1iy)(1 + 2y) = 5 + 6i
((-2i + -1i2) + 3x * (2 + i)) + (x + -1iy)(1 + 2y) = 5 + 6i
(-2i + -1i2 + (2 * 3x + i * 3x)) + (x + -1iy)(1 + 2y) = 5 + 6i

Reorder the terms:
(-2i + -1i2 + (3ix + 6x)) + (x + -1iy)(1 + 2y) = 5 + 6i
(-2i + -1i2 + (3ix + 6x)) + (x + -1iy)(1 + 2y) = 5 + 6i

Reorder the terms:
(-2i + 3ix + -1i2 + 6x) + (x + -1iy)(1 + 2y) = 5 + 6i
(-2i + 3ix + -1i2 + 6x) + (x + -1iy)(1 + 2y) = 5 + 6i

Reorder the terms:
-2i + 3ix + -1i2 + 6x + (-1iy + x)(1 + 2y) = 5 + 6i

Multiply (-1iy + x) * (1 + 2y)
-2i + 3ix + -1i2 + 6x + (-1iy * (1 + 2y) + x(1 + 2y)) = 5 + 6i
-2i + 3ix + -1i2 + 6x + ((1 * -1iy + 2y * -1iy) + x(1 + 2y)) = 5 + 6i
-2i + 3ix + -1i2 + 6x + ((-1iy + -2iy2) + x(1 + 2y)) = 5 + 6i
-2i + 3ix + -1i2 + 6x + (-1iy + -2iy2 + (1 * x + 2y * x)) = 5 + 6i
-2i + 3ix + -1i2 + 6x + (-1iy + -2iy2 + (1x + 2xy)) = 5 + 6i
-2i + 3ix + -1i2 + 6x + (-1iy + -2iy2 + 1x + 2xy) = 5 + 6i

Reorder the terms:
-2i + 3ix + -1iy + -2iy2 + -1i2 + 6x + 1x + 2xy = 5 + 6i

Combine like terms: 6x + 1x = 7x
-2i + 3ix + -1iy + -2iy2 + -1i2 + 7x + 2xy = 5 + 6i

Solving
-2i + 3ix + -1iy + -2iy2 + -1i2 + 7x + 2xy = 5 + 6i

Solving for variable 'i'.

Reorder the terms:
-5 + -2i + -6i + 3ix + -1iy + -2iy2 + -1i2 + 7x + 2xy = 5 + 6i + -5 + -6i

Combine like terms: -2i + -6i = -8i
-5 + -8i + 3ix + -1iy + -2iy2 + -1i2 + 7x + 2xy = 5 + 6i + -5 + -6i

Reorder the terms:
-5 + -8i + 3ix + -1iy + -2iy2 + -1i2 + 7x + 2xy = 5 + -5 + 6i + -6i

Combine like terms: 5 + -5 = 0
-5 + -8i + 3ix + -1iy + -2iy2 + -1i2 + 7x + 2xy = 0 + 6i + -6i
-5 + -8i + 3ix + -1iy + -2iy2 + -1i2 + 7x + 2xy = 6i + -6i

Combine like terms: 6i + -6i = 0
-5 + -8i + 3ix + -1iy + -2iy2 + -1i2 + 7x + 2xy = 0

The solution to this equation could not be determined.

See similar equations:

| 15x+74=180 | | 3(8+3)=p+p+p | | 7x-19=9x+10 | | 15x+75=180 | | 4=d+d | | 14x+126=180 | | 17x+27=180 | | 4z+(3z+6)=180 | | 17x+27=360 | | 23x-126=180 | | z^2+(1-2i)z+2i=0 | | 5+6(1-3x)=-33 | | 23x-13=180 | | 13c+13+5=70 | | 5(k+5)=3(k-2) | | 32+17g-12-5g=80 | | 8x+94=180 | | 3(4r-1)=2(5r-7) | | 12x+30=2x^2+12 | | h=16t^2+48t+3808 | | 300=x^2+4xy | | 4(3x-3)=2(2x+6) | | 5(d+2)=3(d-9) | | 0=0.1*x^5-1.33*x^3+6*x | | 7coshx-sinhx=8 | | 0=0.1x^5-1.33x^3+6x | | 400+0.1x^2-0.2x=0 | | 2(1-x)+20x=4 | | 2x+5+4x-2= | | (x^2-2x-1)=-3 | | 9x-6-8.5x+2=90 | | 2(x-5)+1=4x-7 |

Equations solver categories