(x-3)(x+0.5)(x+1-2i)(x+1+2i)=0

Simple and best practice solution for (x-3)(x+0.5)(x+1-2i)(x+1+2i)=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-3)(x+0.5)(x+1-2i)(x+1+2i)=0 equation: 


Simplifying
(x + -3)(x + 0.5)(x + 1 + -2i)(x + 1 + 2i) = 0

Reorder the terms:
(-3 + x)(x + 0.5)(x + 1 + -2i)(x + 1 + 2i) = 0

Reorder the terms:
(-3 + x)(0.5 + x)(x + 1 + -2i)(x + 1 + 2i) = 0

Reorder the terms:
(-3 + x)(0.5 + x)(1 + -2i + x)(x + 1 + 2i) = 0

Reorder the terms:
(-3 + x)(0.5 + x)(1 + -2i + x)(1 + 2i + x) = 0

Multiply (-3 + x) * (0.5 + x)
(-3(0.5 + x) + x(0.5 + x))(1 + -2i + x)(1 + 2i + x) = 0
((0.5 * -3 + x * -3) + x(0.5 + x))(1 + -2i + x)(1 + 2i + x) = 0
((-1.5 + -3x) + x(0.5 + x))(1 + -2i + x)(1 + 2i + x) = 0
(-1.5 + -3x + (0.5 * x + x * x))(1 + -2i + x)(1 + 2i + x) = 0
(-1.5 + -3x + (0.5x + x2))(1 + -2i + x)(1 + 2i + x) = 0

Combine like terms: -3x + 0.5x = -2.5x
(-1.5 + -2.5x + x2)(1 + -2i + x)(1 + 2i + x) = 0

Multiply (-1.5 + -2.5x + x2) * (1 + -2i + x)
(-1.5(1 + -2i + x) + -2.5x * (1 + -2i + x) + x2(1 + -2i + x))(1 + 2i + x) = 0
((1 * -1.5 + -2i * -1.5 + x * -1.5) + -2.5x * (1 + -2i + x) + x2(1 + -2i + x))(1 + 2i + x) = 0
((-1.5 + 3i + -1.5x) + -2.5x * (1 + -2i + x) + x2(1 + -2i + x))(1 + 2i + x) = 0
(-1.5 + 3i + -1.5x + (1 * -2.5x + -2i * -2.5x + x * -2.5x) + x2(1 + -2i + x))(1 + 2i + x) = 0

Reorder the terms:
(-1.5 + 3i + -1.5x + (5ix + -2.5x + -2.5x2) + x2(1 + -2i + x))(1 + 2i + x) = 0
(-1.5 + 3i + -1.5x + (5ix + -2.5x + -2.5x2) + x2(1 + -2i + x))(1 + 2i + x) = 0
(-1.5 + 3i + -1.5x + 5ix + -2.5x + -2.5x2 + (1 * x2 + -2i * x2 + x * x2))(1 + 2i + x) = 0

Reorder the terms:
(-1.5 + 3i + -1.5x + 5ix + -2.5x + -2.5x2 + (-2ix2 + 1x2 + x3))(1 + 2i + x) = 0
(-1.5 + 3i + -1.5x + 5ix + -2.5x + -2.5x2 + (-2ix2 + 1x2 + x3))(1 + 2i + x) = 0

Reorder the terms:
(-1.5 + 3i + 5ix + -2ix2 + -1.5x + -2.5x + -2.5x2 + 1x2 + x3)(1 + 2i + x) = 0

Combine like terms: -1.5x + -2.5x = -4x
(-1.5 + 3i + 5ix + -2ix2 + -4x + -2.5x2 + 1x2 + x3)(1 + 2i + x) = 0

Combine like terms: -2.5x2 + 1x2 = -1.5x2
(-1.5 + 3i + 5ix + -2ix2 + -4x + -1.5x2 + x3)(1 + 2i + x) = 0

Multiply (-1.5 + 3i + 5ix + -2ix2 + -4x + -1.5x2 + x3) * (1 + 2i + x)
(-1.5(1 + 2i + x) + 3i * (1 + 2i + x) + 5ix * (1 + 2i + x) + -2ix2 * (1 + 2i + x) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
((1 * -1.5 + 2i * -1.5 + x * -1.5) + 3i * (1 + 2i + x) + 5ix * (1 + 2i + x) + -2ix2 * (1 + 2i + x) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
((-1.5 + -3i + -1.5x) + 3i * (1 + 2i + x) + 5ix * (1 + 2i + x) + -2ix2 * (1 + 2i + x) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + (1 * 3i + 2i * 3i + x * 3i) + 5ix * (1 + 2i + x) + -2ix2 * (1 + 2i + x) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0

Reorder the terms:
(-1.5 + -3i + -1.5x + (3i + 3ix + 6i2) + 5ix * (1 + 2i + x) + -2ix2 * (1 + 2i + x) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + (3i + 3ix + 6i2) + 5ix * (1 + 2i + x) + -2ix2 * (1 + 2i + x) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + (1 * 5ix + 2i * 5ix + x * 5ix) + -2ix2 * (1 + 2i + x) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0

Reorder the terms:
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + (5ix + 5ix2 + 10i2x) + -2ix2 * (1 + 2i + x) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + (5ix + 5ix2 + 10i2x) + -2ix2 * (1 + 2i + x) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + (1 * -2ix2 + 2i * -2ix2 + x * -2ix2) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0

Reorder the terms:
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + (-2ix2 + -2ix3 + -4i2x2) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + (-2ix2 + -2ix3 + -4i2x2) + -4x * (1 + 2i + x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + -2ix2 + -2ix3 + -4i2x2 + (1 * -4x + 2i * -4x + x * -4x) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0

Reorder the terms:
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + -2ix2 + -2ix3 + -4i2x2 + (-8ix + -4x + -4x2) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + -2ix2 + -2ix3 + -4i2x2 + (-8ix + -4x + -4x2) + -1.5x2 * (1 + 2i + x) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + -2ix2 + -2ix3 + -4i2x2 + -8ix + -4x + -4x2 + (1 * -1.5x2 + 2i * -1.5x2 + x * -1.5x2) + x3(1 + 2i + x)) = 0

Reorder the terms:
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + -2ix2 + -2ix3 + -4i2x2 + -8ix + -4x + -4x2 + (-3ix2 + -1.5x2 + -1.5x3) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + -2ix2 + -2ix3 + -4i2x2 + -8ix + -4x + -4x2 + (-3ix2 + -1.5x2 + -1.5x3) + x3(1 + 2i + x)) = 0
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + -2ix2 + -2ix3 + -4i2x2 + -8ix + -4x + -4x2 + -3ix2 + -1.5x2 + -1.5x3 + (1 * x3 + 2i * x3 + x * x3)) = 0

Reorder the terms:
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + -2ix2 + -2ix3 + -4i2x2 + -8ix + -4x + -4x2 + -3ix2 + -1.5x2 + -1.5x3 + (2ix3 + 1x3 + x4)) = 0
(-1.5 + -3i + -1.5x + 3i + 3ix + 6i2 + 5ix + 5ix2 + 10i2x + -2ix2 + -2ix3 + -4i2x2 + -8ix + -4x + -4x2 + -3ix2 + -1.5x2 + -1.5x3 + (2ix3 + 1x3 + x4)) = 0

Reorder the terms:
(-1.5 + -3i + 3i + 3ix + 5ix + -8ix + 5ix2 + -2ix2 + -3ix2 + -2ix3 + 2ix3 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0

Combine like terms: -3i + 3i = 0
(-1.5 + 0 + 3ix + 5ix + -8ix + 5ix2 + -2ix2 + -3ix2 + -2ix3 + 2ix3 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0
(-1.5 + 3ix + 5ix + -8ix + 5ix2 + -2ix2 + -3ix2 + -2ix3 + 2ix3 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0

Combine like terms: 3ix + 5ix = 8ix
(-1.5 + 8ix + -8ix + 5ix2 + -2ix2 + -3ix2 + -2ix3 + 2ix3 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0

Combine like terms: 8ix + -8ix = 0
(-1.5 + 0 + 5ix2 + -2ix2 + -3ix2 + -2ix3 + 2ix3 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0
(-1.5 + 5ix2 + -2ix2 + -3ix2 + -2ix3 + 2ix3 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0

Combine like terms: 5ix2 + -2ix2 = 3ix2
(-1.5 + 3ix2 + -3ix2 + -2ix3 + 2ix3 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0

Combine like terms: 3ix2 + -3ix2 = 0
(-1.5 + 0 + -2ix3 + 2ix3 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0
(-1.5 + -2ix3 + 2ix3 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0

Combine like terms: -2ix3 + 2ix3 = 0
(-1.5 + 0 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0
(-1.5 + 6i2 + 10i2x + -4i2x2 + -1.5x + -4x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0

Combine like terms: -1.5x + -4x = -5.5x
(-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -4x2 + -1.5x2 + -1.5x3 + 1x3 + x4) = 0

Combine like terms: -4x2 + -1.5x2 = -5.5x2
(-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -1.5x3 + 1x3 + x4) = 0

Combine like terms: -1.5x3 + 1x3 = -0.5x3
(-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4) = 0

Solving
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 0

Solving for variable 'i'.

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

Add '1.5' to each side of the equation.
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + 1.5 + x4 = 0 + 1.5

Reorder the terms:
-1.5 + 1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 0 + 1.5
6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 1.5

Add '5.5x' to each side of the equation.
6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + 5.5x + x4 = 1.5 + 5.5x

Reorder the terms:
6i2 + 10i2x + -4i2x2 + -5.5x + 5.5x + -5.5x2 + -0.5x3 + x4 = 1.5 + 5.5x

Combine like terms: -5.5x + 5.5x = 0.0
6i2 + 10i2x + -4i2x2 + 0.0 + -5.5x2 + -0.5x3 + x4 = 1.5 + 5.5x
6i2 + 10i2x + -4i2x2 + -5.5x2 + -0.5x3 + x4 = 1.5 + 5.5x

Add '5.5x2' to each side of the equation.
6i2 + 10i2x + -4i2x2 + -5.5x2 + -0.5x3 + 5.5x2 + x4 = 1.5 + 5.5x + 5.5x2

Reorder the terms:
6i2 + 10i2x + -4i2x2 + -5.5x2 + 5.5x2 + -0.5x3 + x4 = 1.5 + 5.5x + 5.5x2

Combine like terms: -5.5x2 + 5.5x2 = 0.0
6i2 + 10i2x + -4i2x2 + 0.0 + -0.5x3 + x4 = 1.5 + 5.5x + 5.5x2
6i2 + 10i2x + -4i2x2 + -0.5x3 + x4 = 1.5 + 5.5x + 5.5x2

Add '0.5x3' to each side of the equation.
6i2 + 10i2x + -4i2x2 + -0.5x3 + 0.5x3 + x4 = 1.5 + 5.5x + 5.5x2 + 0.5x3

Combine like terms: -0.5x3 + 0.5x3 = 0.0
6i2 + 10i2x + -4i2x2 + 0.0 + x4 = 1.5 + 5.5x + 5.5x2 + 0.5x3
6i2 + 10i2x + -4i2x2 + x4 = 1.5 + 5.5x + 5.5x2 + 0.5x3

Add '-1x4' to each side of the equation.
6i2 + 10i2x + -4i2x2 + x4 + -1x4 = 1.5 + 5.5x + 5.5x2 + 0.5x3 + -1x4

Combine like terms: x4 + -1x4 = 0
6i2 + 10i2x + -4i2x2 + 0 = 1.5 + 5.5x + 5.5x2 + 0.5x3 + -1x4
6i2 + 10i2x + -4i2x2 = 1.5 + 5.5x + 5.5x2 + 0.5x3 + -1x4

Reorder the terms:
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 1.5 + 5.5x + 5.5x2 + 0.5x3 + -1x4 + -1.5 + -5.5x + -5.5x2 + -0.5x3 + x4

Reorder the terms:
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 1.5 + -1.5 + 5.5x + -5.5x + 5.5x2 + -5.5x2 + 0.5x3 + -0.5x3 + -1x4 + x4

Combine like terms: 1.5 + -1.5 = 0.0
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 0.0 + 5.5x + -5.5x + 5.5x2 + -5.5x2 + 0.5x3 + -0.5x3 + -1x4 + x4
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 5.5x + -5.5x + 5.5x2 + -5.5x2 + 0.5x3 + -0.5x3 + -1x4 + x4

Combine like terms: 5.5x + -5.5x = 0.0
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 0.0 + 5.5x2 + -5.5x2 + 0.5x3 + -0.5x3 + -1x4 + x4
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 5.5x2 + -5.5x2 + 0.5x3 + -0.5x3 + -1x4 + x4

Combine like terms: 5.5x2 + -5.5x2 = 0.0
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 0.0 + 0.5x3 + -0.5x3 + -1x4 + x4
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 0.5x3 + -0.5x3 + -1x4 + x4

Combine like terms: 0.5x3 + -0.5x3 = 0.0
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 0.0 + -1x4 + x4
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-1.5 + 6i2 + 10i2x + -4i2x2 + -5.5x + -5.5x2 + -0.5x3 + x4 = 0

The solution to this equation could not be determined.

See similar equations:

| 3a+5a=4 | | -b^2+22b+31=1+5b-3b^2 | | -3(x+1)=(x+4)+2 | | 93=29 | | 7.1x-1.1=13.1 | | 9(-5)+5y=20 | | 33x^3-70x^2+25x= | | f(t)=6t^4-5t^3-t^2-6t+4 | | 5+65x=52x+17 | | 2/5(4x-10)=6 | | x-7-3=(2x-4) | | (4x^3-5x)/(2x-1) | | 3-(y+2)=3y | | 7(x+3)-5=22-3x-6+10x | | -6z-5z=7z-2-4z | | -1+5(x-4)=12x+6-7x | | -4z-2z=4z+8-5z | | r^2=289 | | W(5w-9)=0 | | 5x+10=-122-7x | | 3(-2+6n)= | | f(x+6)=8x-7 | | x(x+6)=72 | | 2(2x-4)=5-(x/2+4) | | 4(a-8)+14=2(a-5) | | 3r-5=45-2r | | y=ln(x-2) | | -8(t-4)-(t+3)=6 | | 7x-7=3x+37 | | 3-x/4=5/2 | | 7x+4=-x-12 | | y=2sin(3x)+3cos(2x) |

Equations solver categories