(2x+3yi)+(3x-4y)i=(x-2)(2y-5)i

Simple and best practice solution for (2x+3yi)+(3x-4y)i=(x-2)(2y-5)i 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 (2x+3yi)+(3x-4y)i=(x-2)(2y-5)i equation:


Simplifying
(2x + 3yi) + (3x + -4y) * i = (x + -2)(2y + -5) * i

Reorder the terms:
(3iy + 2x) + (3x + -4y) * i = (x + -2)(2y + -5) * i

Remove parenthesis around (3iy + 2x)
3iy + 2x + (3x + -4y) * i = (x + -2)(2y + -5) * i

Reorder the terms for easier multiplication:
3iy + 2x + i(3x + -4y) = (x + -2)(2y + -5) * i
3iy + 2x + (3x * i + -4y * i) = (x + -2)(2y + -5) * i
3iy + 2x + (3ix + -4iy) = (x + -2)(2y + -5) * i

Reorder the terms:
3ix + 3iy + -4iy + 2x = (x + -2)(2y + -5) * i

Combine like terms: 3iy + -4iy = -1iy
3ix + -1iy + 2x = (x + -2)(2y + -5) * i

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

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

Reorder the terms for easier multiplication:
3ix + -1iy + 2x = i(-2 + x)(-5 + 2y)

Multiply (-2 + x) * (-5 + 2y)
3ix + -1iy + 2x = i(-2(-5 + 2y) + x(-5 + 2y))
3ix + -1iy + 2x = i((-5 * -2 + 2y * -2) + x(-5 + 2y))
3ix + -1iy + 2x = i((10 + -4y) + x(-5 + 2y))
3ix + -1iy + 2x = i(10 + -4y + (-5 * x + 2y * x))
3ix + -1iy + 2x = i(10 + -4y + (-5x + 2xy))

Reorder the terms:
3ix + -1iy + 2x = i(10 + -5x + 2xy + -4y)
3ix + -1iy + 2x = i(10 + -5x + 2xy + -4y)
3ix + -1iy + 2x = (10 * i + -5x * i + 2xy * i + -4y * i)
3ix + -1iy + 2x = (10i + -5ix + 2ixy + -4iy)

Solving
3ix + -1iy + 2x = 10i + -5ix + 2ixy + -4iy

Solving for variable 'i'.

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

Add '-10i' to each side of the equation.
3ix + -1iy + -10i + 2x = 10i + -5ix + 2ixy + -10i + -4iy

Reorder the terms:
-10i + 3ix + -1iy + 2x = 10i + -5ix + 2ixy + -10i + -4iy

Reorder the terms:
-10i + 3ix + -1iy + 2x = 10i + -10i + -5ix + 2ixy + -4iy

Combine like terms: 10i + -10i = 0
-10i + 3ix + -1iy + 2x = 0 + -5ix + 2ixy + -4iy
-10i + 3ix + -1iy + 2x = -5ix + 2ixy + -4iy

Add '5ix' to each side of the equation.
-10i + 3ix + -1iy + 5ix + 2x = -5ix + 2ixy + 5ix + -4iy

Reorder the terms:
-10i + 3ix + 5ix + -1iy + 2x = -5ix + 2ixy + 5ix + -4iy

Combine like terms: 3ix + 5ix = 8ix
-10i + 8ix + -1iy + 2x = -5ix + 2ixy + 5ix + -4iy

Reorder the terms:
-10i + 8ix + -1iy + 2x = -5ix + 5ix + 2ixy + -4iy

Combine like terms: -5ix + 5ix = 0
-10i + 8ix + -1iy + 2x = 0 + 2ixy + -4iy
-10i + 8ix + -1iy + 2x = 2ixy + -4iy

Add '-2ixy' to each side of the equation.
-10i + 8ix + -1iy + -2ixy + 2x = 2ixy + -2ixy + -4iy

Reorder the terms:
-10i + 8ix + -2ixy + -1iy + 2x = 2ixy + -2ixy + -4iy

Combine like terms: 2ixy + -2ixy = 0
-10i + 8ix + -2ixy + -1iy + 2x = 0 + -4iy
-10i + 8ix + -2ixy + -1iy + 2x = -4iy

Add '4iy' to each side of the equation.
-10i + 8ix + -2ixy + -1iy + 4iy + 2x = -4iy + 4iy

Combine like terms: -1iy + 4iy = 3iy
-10i + 8ix + -2ixy + 3iy + 2x = -4iy + 4iy

Combine like terms: -4iy + 4iy = 0
-10i + 8ix + -2ixy + 3iy + 2x = 0

Add '-2x' to each side of the equation.
-10i + 8ix + -2ixy + 3iy + 2x + -2x = 0 + -2x

Combine like terms: 2x + -2x = 0
-10i + 8ix + -2ixy + 3iy + 0 = 0 + -2x
-10i + 8ix + -2ixy + 3iy = 0 + -2x
Remove the zero:
-10i + 8ix + -2ixy + 3iy = -2x

Combine like terms: -2x + 2x = 0
-10i + 8ix + -2ixy + 3iy + 2x = 0

The solution to this equation could not be determined.

See similar equations:

| -3x(x-1)= | | 18=z-4z | | x^2-8*x-3=y | | 3/57 | | y=0.75(19.84)+4.84 | | 17/85 | | 5[5-(y+2)]= | | 0.7-0.5x=1.2-2.7 | | y=0.75x+4.84 | | .4(5x-12)+.5x=15.2 | | 4n^2-60=8n | | (3+i)(5-i)= | | Y=-2sin(x-60)-1 | | 9h-3=9+5h | | 13x-5+7x+31= | | .1(x+50)=-3x-13+4x | | j^2-28j=-29 | | -(2-3m)=-12 | | -12x+6=18 | | (5x+8)(7x+5)= | | 5.16x+16=26.6256+4x | | -16x+140=-230-11x | | 4x-3=8(x-3) | | (4+3i)+(2-6i)= | | 12x-3+7x-2= | | -23+6b=-5(-8+3b) | | -2t^2+60t=82 | | 0=-16t^2+49.6t+5 | | -4y+7=3(2y+1) | | x+4.333=2.833 | | 9*9+b=15*15 | | 7n+6n-1=2 |

Equations solver categories