(x-i)(x+i)(x^2+x)=y

Solution for (x-i)(x+i)(x^2+x)=y equation:

Simplifying
(x + -1i)(x + i)(x2 + x) = y

Reorder the terms:
(-1i + x)(x + i)(x2 + x) = y

Reorder the terms:
(-1i + x)(i + x)(x2 + x) = y

Reorder the terms:
(-1i + x)(i + x)(x + x2) = y

Multiply (-1i + x) * (i + x)
(-1i * (i + x) + x(i + x))(x + x2) = y
((i * -1i + x * -1i) + x(i + x))(x + x2) = y

Reorder the terms:
((-1ix + -1i2) + x(i + x))(x + x2) = y
((-1ix + -1i2) + x(i + x))(x + x2) = y
(-1ix + -1i2 + (i * x + x * x))(x + x2) = y
(-1ix + -1i2 + (ix + x2))(x + x2) = y

Reorder the terms:
(-1ix + ix + -1i2 + x2)(x + x2) = y

Combine like terms: -1ix + ix = 0
(0 + -1i2 + x2)(x + x2) = y
(-1i2 + x2)(x + x2) = y

Multiply (-1i2 + x2) * (x + x2)
(-1i2 * (x + x2) + x2(x + x2)) = y
((x * -1i2 + x2 * -1i2) + x2(x + x2)) = y
((-1i2x + -1i2x2) + x2(x + x2)) = y
(-1i2x + -1i2x2 + (x * x2 + x2 * x2)) = y
(-1i2x + -1i2x2 + (x3 + x4)) = y
(-1i2x + -1i2x2 + x3 + x4) = y

Solving
-1i2x + -1i2x2 + x3 + x4 = y

Solving for variable 'i'.

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

Add '-1x3' to each side of the equation.
-1i2x + -1i2x2 + x3 + -1x3 + x4 = -1x3 + y

Combine like terms: x3 + -1x3 = 0
-1i2x + -1i2x2 + 0 + x4 = -1x3 + y
-1i2x + -1i2x2 + x4 = -1x3 + y

Add '-1x4' to each side of the equation.
-1i2x + -1i2x2 + x4 + -1x4 = -1x3 + -1x4 + y

Combine like terms: x4 + -1x4 = 0
-1i2x + -1i2x2 + 0 = -1x3 + -1x4 + y
-1i2x + -1i2x2 = -1x3 + -1x4 + y

Reorder the terms:
-1i2x + -1i2x2 + x3 + x4 + -1y = -1x3 + x3 + -1x4 + x4 + y + -1y

Combine like terms: -1x3 + x3 = 0
-1i2x + -1i2x2 + x3 + x4 + -1y = 0 + -1x4 + x4 + y + -1y
-1i2x + -1i2x2 + x3 + x4 + -1y = -1x4 + x4 + y + -1y

Combine like terms: -1x4 + x4 = 0
-1i2x + -1i2x2 + x3 + x4 + -1y = 0 + y + -1y
-1i2x + -1i2x2 + x3 + x4 + -1y = y + -1y

Combine like terms: y + -1y = 0
-1i2x + -1i2x2 + x3 + x4 + -1y = 0

The solution to this equation could not be determined.