(2+I)(x+iy)+(3-2i)(x-iy)=17+7i

Simple and best practice solution for (2+I)(x+iy)+(3-2i)(x-iy)=17+7i 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 (2+I)(x+iy)+(3-2i)(x-iy)=17+7i equation: 


Simplifying
(2 + I)(x + iy) + (3 + -2i)(x + -1iy) = 17 + 7i

Reorder the terms:
(2 + I)(iy + x) + (3 + -2i)(x + -1iy) = 17 + 7i

Multiply (2 + I) * (iy + x)
(2(iy + x) + I(iy + x)) + (3 + -2i)(x + -1iy) = 17 + 7i
((iy * 2 + x * 2) + I(iy + x)) + (3 + -2i)(x + -1iy) = 17 + 7i
((2iy + 2x) + I(iy + x)) + (3 + -2i)(x + -1iy) = 17 + 7i
(2iy + 2x + (iy * I + x * I)) + (3 + -2i)(x + -1iy) = 17 + 7i
(2iy + 2x + (iyI + xI)) + (3 + -2i)(x + -1iy) = 17 + 7i

Reorder the terms:
(2iy + iyI + 2x + xI) + (3 + -2i)(x + -1iy) = 17 + 7i
(2iy + iyI + 2x + xI) + (3 + -2i)(x + -1iy) = 17 + 7i

Reorder the terms:
2iy + iyI + 2x + xI + (3 + -2i)(-1iy + x) = 17 + 7i

Multiply (3 + -2i) * (-1iy + x)
2iy + iyI + 2x + xI + (3(-1iy + x) + -2i * (-1iy + x)) = 17 + 7i
2iy + iyI + 2x + xI + ((-1iy * 3 + x * 3) + -2i * (-1iy + x)) = 17 + 7i
2iy + iyI + 2x + xI + ((-3iy + 3x) + -2i * (-1iy + x)) = 17 + 7i
2iy + iyI + 2x + xI + (-3iy + 3x + (-1iy * -2i + x * -2i)) = 17 + 7i

Reorder the terms:
2iy + iyI + 2x + xI + (-3iy + 3x + (-2ix + 2i2y)) = 17 + 7i
2iy + iyI + 2x + xI + (-3iy + 3x + (-2ix + 2i2y)) = 17 + 7i

Reorder the terms:
2iy + iyI + 2x + xI + (-2ix + -3iy + 2i2y + 3x) = 17 + 7i
2iy + iyI + 2x + xI + (-2ix + -3iy + 2i2y + 3x) = 17 + 7i

Reorder the terms:
-2ix + 2iy + -3iy + iyI + 2i2y + 2x + 3x + xI = 17 + 7i

Combine like terms: 2iy + -3iy = -1iy
-2ix + -1iy + iyI + 2i2y + 2x + 3x + xI = 17 + 7i

Combine like terms: 2x + 3x = 5x
-2ix + -1iy + iyI + 2i2y + 5x + xI = 17 + 7i

Solving
-2ix + -1iy + iyI + 2i2y + 5x + xI = 17 + 7i

Solving for variable 'i'.

Reorder the terms:
-17 + -7i + -2ix + -1iy + iyI + 2i2y + 5x + xI = 17 + 7i + -17 + -7i

Reorder the terms:
-17 + -7i + -2ix + -1iy + iyI + 2i2y + 5x + xI = 17 + -17 + 7i + -7i

Combine like terms: 17 + -17 = 0
-17 + -7i + -2ix + -1iy + iyI + 2i2y + 5x + xI = 0 + 7i + -7i
-17 + -7i + -2ix + -1iy + iyI + 2i2y + 5x + xI = 7i + -7i

Combine like terms: 7i + -7i = 0
-17 + -7i + -2ix + -1iy + iyI + 2i2y + 5x + xI = 0

The solution to this equation could not be determined.

See similar equations:

| -41-3x=44-8x | | 5x+20=4x+25 | | 4-5n=8-2n | | 27z-8=26z+4 | | 27z-8=26z+9 | | -3x-64=132+11x | | 9.95+0.30*35=c | | -6x+9=-99 | | 10x+10=7x+22 | | (8m)(4)=32 | | az-bz+ay-by= | | 11(x+3)=8(x+6) | | 27a+15= | | 5x-7-13x+4=24x-7-12x+17 | | 4x+2+3x-9=21 | | 25=-x+7 | | 8n-6=42 | | 4t-8(t+1)=8 | | -6y+5-4y+5y=50 | | 4x+1-x=3(x+3) | | 3x+15-9x=17-19x+13x-2 | | 15h-4= | | 21=3(2x-9) | | 150m-75m+42750=45225-150m | | 12x^2+4x-56= | | 3i+2iz=10+i-3z | | 6x^2+19xy-20y^2=0 | | x(2+3y)=2z | | (3x^2+10x+8)(x+2)=0 | | y=x-0.2x | | 21-8+3*12=120 | | 225+20t=600 |

Equations solver categories