(x+2)[x-(1+4i)][x-(1-4i)]=0

Simple and best practice solution for (x+2)[x-(1+4i)][x-(1-4i)]=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)[x-(1+4i)][x-(1-4i)]=0 equation: 


Simplifying
(x + 2)[x + -1(1 + 4i)][x + -1(1 + -4i)] = 0

Reorder the terms:
(2 + x)[x + -1(1 + 4i)][x + -1(1 + -4i)] = 0
(2 + x)[x + (1 * -1 + 4i * -1)][x + -1(1 + -4i)] = 0
(2 + x)[x + (-1 + -4i)][x + -1(1 + -4i)] = 0

Reorder the terms:
(2 + x)[-1 + -4i + x][x + -1(1 + -4i)] = 0
(2 + x)[-1 + -4i + x][x + (1 * -1 + -4i * -1)] = 0
(2 + x)[-1 + -4i + x][x + (-1 + 4i)] = 0

Reorder the terms:
(2 + x)[-1 + -4i + x][-1 + 4i + x] = 0

Multiply (2 + x) * [-1 + -4i + x]
(2[-1 + -4i + x] + x[-1 + -4i + x])[-1 + 4i + x] = 0
([-1 * 2 + -4i * 2 + x * 2] + x[-1 + -4i + x])[-1 + 4i + x] = 0
([-2 + -8i + 2x] + x[-1 + -4i + x])[-1 + 4i + x] = 0
(-2 + -8i + 2x + [-1 * x + -4i * x + x * x])[-1 + 4i + x] = 0

Reorder the terms:
(-2 + -8i + 2x + [-4ix + -1x + x2])[-1 + 4i + x] = 0
(-2 + -8i + 2x + [-4ix + -1x + x2])[-1 + 4i + x] = 0

Reorder the terms:
(-2 + -8i + -4ix + 2x + -1x + x2)[-1 + 4i + x] = 0

Combine like terms: 2x + -1x = 1x
(-2 + -8i + -4ix + 1x + x2)[-1 + 4i + x] = 0

Multiply (-2 + -8i + -4ix + 1x + x2) * [-1 + 4i + x]
(-2[-1 + 4i + x] + -8i * [-1 + 4i + x] + -4ix * [-1 + 4i + x] + 1x * [-1 + 4i + x] + x2[-1 + 4i + x]) = 0
([-1 * -2 + 4i * -2 + x * -2] + -8i * [-1 + 4i + x] + -4ix * [-1 + 4i + x] + 1x * [-1 + 4i + x] + x2[-1 + 4i + x]) = 0
([2 + -8i + -2x] + -8i * [-1 + 4i + x] + -4ix * [-1 + 4i + x] + 1x * [-1 + 4i + x] + x2[-1 + 4i + x]) = 0
(2 + -8i + -2x + [-1 * -8i + 4i * -8i + x * -8i] + -4ix * [-1 + 4i + x] + 1x * [-1 + 4i + x] + x2[-1 + 4i + x]) = 0

Reorder the terms:
(2 + -8i + -2x + [8i + -8ix + -32i2] + -4ix * [-1 + 4i + x] + 1x * [-1 + 4i + x] + x2[-1 + 4i + x]) = 0
(2 + -8i + -2x + [8i + -8ix + -32i2] + -4ix * [-1 + 4i + x] + 1x * [-1 + 4i + x] + x2[-1 + 4i + x]) = 0
(2 + -8i + -2x + 8i + -8ix + -32i2 + [-1 * -4ix + 4i * -4ix + x * -4ix] + 1x * [-1 + 4i + x] + x2[-1 + 4i + x]) = 0

Reorder the terms:
(2 + -8i + -2x + 8i + -8ix + -32i2 + [4ix + -4ix2 + -16i2x] + 1x * [-1 + 4i + x] + x2[-1 + 4i + x]) = 0
(2 + -8i + -2x + 8i + -8ix + -32i2 + [4ix + -4ix2 + -16i2x] + 1x * [-1 + 4i + x] + x2[-1 + 4i + x]) = 0
(2 + -8i + -2x + 8i + -8ix + -32i2 + 4ix + -4ix2 + -16i2x + [-1 * 1x + 4i * 1x + x * 1x] + x2[-1 + 4i + x]) = 0

Reorder the terms:
(2 + -8i + -2x + 8i + -8ix + -32i2 + 4ix + -4ix2 + -16i2x + [4ix + -1x + 1x2] + x2[-1 + 4i + x]) = 0
(2 + -8i + -2x + 8i + -8ix + -32i2 + 4ix + -4ix2 + -16i2x + [4ix + -1x + 1x2] + x2[-1 + 4i + x]) = 0
(2 + -8i + -2x + 8i + -8ix + -32i2 + 4ix + -4ix2 + -16i2x + 4ix + -1x + 1x2 + [-1 * x2 + 4i * x2 + x * x2]) = 0

Reorder the terms:
(2 + -8i + -2x + 8i + -8ix + -32i2 + 4ix + -4ix2 + -16i2x + 4ix + -1x + 1x2 + [4ix2 + -1x2 + x3]) = 0
(2 + -8i + -2x + 8i + -8ix + -32i2 + 4ix + -4ix2 + -16i2x + 4ix + -1x + 1x2 + [4ix2 + -1x2 + x3]) = 0

Reorder the terms:
(2 + -8i + 8i + -8ix + 4ix + 4ix + -4ix2 + 4ix2 + -32i2 + -16i2x + -2x + -1x + 1x2 + -1x2 + x3) = 0

Combine like terms: -8i + 8i = 0
(2 + 0 + -8ix + 4ix + 4ix + -4ix2 + 4ix2 + -32i2 + -16i2x + -2x + -1x + 1x2 + -1x2 + x3) = 0
(2 + -8ix + 4ix + 4ix + -4ix2 + 4ix2 + -32i2 + -16i2x + -2x + -1x + 1x2 + -1x2 + x3) = 0

Combine like terms: -8ix + 4ix = -4ix
(2 + -4ix + 4ix + -4ix2 + 4ix2 + -32i2 + -16i2x + -2x + -1x + 1x2 + -1x2 + x3) = 0

Combine like terms: -4ix + 4ix = 0
(2 + 0 + -4ix2 + 4ix2 + -32i2 + -16i2x + -2x + -1x + 1x2 + -1x2 + x3) = 0
(2 + -4ix2 + 4ix2 + -32i2 + -16i2x + -2x + -1x + 1x2 + -1x2 + x3) = 0

Combine like terms: -4ix2 + 4ix2 = 0
(2 + 0 + -32i2 + -16i2x + -2x + -1x + 1x2 + -1x2 + x3) = 0
(2 + -32i2 + -16i2x + -2x + -1x + 1x2 + -1x2 + x3) = 0

Combine like terms: -2x + -1x = -3x
(2 + -32i2 + -16i2x + -3x + 1x2 + -1x2 + x3) = 0

Combine like terms: 1x2 + -1x2 = 0
(2 + -32i2 + -16i2x + -3x + 0 + x3) = 0
(2 + -32i2 + -16i2x + -3x + x3) = 0

Solving
2 + -32i2 + -16i2x + -3x + x3 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -32i2 + -16i2x + -3x + -2 + x3 = 0 + -2

Reorder the terms:
2 + -2 + -32i2 + -16i2x + -3x + x3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -32i2 + -16i2x + -3x + x3 = 0 + -2
-32i2 + -16i2x + -3x + x3 = 0 + -2

Combine like terms: 0 + -2 = -2
-32i2 + -16i2x + -3x + x3 = -2

Add '3x' to each side of the equation.
-32i2 + -16i2x + -3x + 3x + x3 = -2 + 3x

Combine like terms: -3x + 3x = 0
-32i2 + -16i2x + 0 + x3 = -2 + 3x
-32i2 + -16i2x + x3 = -2 + 3x

Add '-1x3' to each side of the equation.
-32i2 + -16i2x + x3 + -1x3 = -2 + 3x + -1x3

Combine like terms: x3 + -1x3 = 0
-32i2 + -16i2x + 0 = -2 + 3x + -1x3
-32i2 + -16i2x = -2 + 3x + -1x3

Reorder the terms:
2 + -32i2 + -16i2x + -3x + x3 = -2 + 3x + -1x3 + 2 + -3x + x3

Reorder the terms:
2 + -32i2 + -16i2x + -3x + x3 = -2 + 2 + 3x + -3x + -1x3 + x3

Combine like terms: -2 + 2 = 0
2 + -32i2 + -16i2x + -3x + x3 = 0 + 3x + -3x + -1x3 + x3
2 + -32i2 + -16i2x + -3x + x3 = 3x + -3x + -1x3 + x3

Combine like terms: 3x + -3x = 0
2 + -32i2 + -16i2x + -3x + x3 = 0 + -1x3 + x3
2 + -32i2 + -16i2x + -3x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
2 + -32i2 + -16i2x + -3x + x3 = 0

The solution to this equation could not be determined.

See similar equations:

| 4(2n-a+5)=5 | | 3x+2x+3=0 | | 9(2x+3)=8(3x+1)+5 | | 2(m-3)+4=-3(m-2)+2m-2 | | 5x-14+x=-30-2x | | T/3=18/6 | | 32b-20=0 | | -0.3x+5.36=-0.1x+0.56 | | 11+11b=66 | | n(3+7)+2=92 | | 4x-10=9x-6 | | 2(w-3)-1=-3(-7w+1)-9w | | 12(0.5n+2)=36 | | X^2=60+8x | | 20b+15s+22t=735 | | 24+3d-10h+8d=0 | | 800x-0.71=600x+0.79 | | 5x-5+11+11x=70 | | 8(n-9)=80 | | -87=6x-3 | | 2.3x-35=1.1x+7 | | 5(2n-5)=26 | | 3+3x^2=15 | | 5.4x+8-3.4x=2 | | X^2-6x=2x+60 | | 7x+10y=51 | | 5.4+8-3.4x=2 | | 8(a+2)+3=2(a-4)-11 | | 2/7y-5=-9 | | -7(y+1)=3y-9+2(4y+6) | | 0.5[7d+4]=7-1.5d | | 6x-31.5=x |

Equations solver categories