(X+1)(x-4)(x^2+5i)=

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Solution for (X+1)(x-4)(x^2+5i)= equation: 


Simplifying
(X + 1)(x + -4)(x2 + 5i) = 0

Reorder the terms:
(1 + X)(x + -4)(x2 + 5i) = 0

Reorder the terms:
(1 + X)(-4 + x)(x2 + 5i) = 0

Reorder the terms:
(1 + X)(-4 + x)(5i + x2) = 0

Multiply (1 + X) * (-4 + x)
(1(-4 + x) + X(-4 + x))(5i + x2) = 0
((-4 * 1 + x * 1) + X(-4 + x))(5i + x2) = 0
((-4 + 1x) + X(-4 + x))(5i + x2) = 0
(-4 + 1x + (-4 * X + x * X))(5i + x2) = 0
(-4 + 1x + (-4X + xX))(5i + x2) = 0

Reorder the terms:
(-4 + -4X + 1x + xX)(5i + x2) = 0
(-4 + -4X + 1x + xX)(5i + x2) = 0

Multiply (-4 + -4X + 1x + xX) * (5i + x2)
(-4(5i + x2) + -4X * (5i + x2) + 1x * (5i + x2) + xX(5i + x2)) = 0
((5i * -4 + x2 * -4) + -4X * (5i + x2) + 1x * (5i + x2) + xX(5i + x2)) = 0
((-20i + -4x2) + -4X * (5i + x2) + 1x * (5i + x2) + xX(5i + x2)) = 0
(-20i + -4x2 + (5i * -4X + x2 * -4X) + 1x * (5i + x2) + xX(5i + x2)) = 0
(-20i + -4x2 + (-20iX + -4x2X) + 1x * (5i + x2) + xX(5i + x2)) = 0
(-20i + -4x2 + -20iX + -4x2X + (5i * 1x + x2 * 1x) + xX(5i + x2)) = 0
(-20i + -4x2 + -20iX + -4x2X + (5ix + 1x3) + xX(5i + x2)) = 0
(-20i + -4x2 + -20iX + -4x2X + 5ix + 1x3 + (5i * xX + x2 * xX)) = 0
(-20i + -4x2 + -20iX + -4x2X + 5ix + 1x3 + (5ixX + x3X)) = 0

Reorder the terms:
(-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + 1x3 + x3X) = 0
(-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + 1x3 + x3X) = 0

Solving
-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + 1x3 + x3X = 0

Solving for variable 'i'.

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

Add '4x2' to each side of the equation.
-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + 1x3 + 4x2 + x3X = 0 + 4x2

Reorder the terms:
-20i + -20iX + 5ix + 5ixX + -4x2 + 4x2 + -4x2X + 1x3 + x3X = 0 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-20i + -20iX + 5ix + 5ixX + 0 + -4x2X + 1x3 + x3X = 0 + 4x2
-20i + -20iX + 5ix + 5ixX + -4x2X + 1x3 + x3X = 0 + 4x2
Remove the zero:
-20i + -20iX + 5ix + 5ixX + -4x2X + 1x3 + x3X = 4x2

Add '4x2X' to each side of the equation.
-20i + -20iX + 5ix + 5ixX + -4x2X + 1x3 + 4x2X + x3X = 4x2 + 4x2X

Reorder the terms:
-20i + -20iX + 5ix + 5ixX + -4x2X + 4x2X + 1x3 + x3X = 4x2 + 4x2X

Combine like terms: -4x2X + 4x2X = 0
-20i + -20iX + 5ix + 5ixX + 0 + 1x3 + x3X = 4x2 + 4x2X
-20i + -20iX + 5ix + 5ixX + 1x3 + x3X = 4x2 + 4x2X

Add '-1x3' to each side of the equation.
-20i + -20iX + 5ix + 5ixX + 1x3 + -1x3 + x3X = 4x2 + 4x2X + -1x3

Combine like terms: 1x3 + -1x3 = 0
-20i + -20iX + 5ix + 5ixX + 0 + x3X = 4x2 + 4x2X + -1x3
-20i + -20iX + 5ix + 5ixX + x3X = 4x2 + 4x2X + -1x3

Add '-1x3X' to each side of the equation.
-20i + -20iX + 5ix + 5ixX + x3X + -1x3X = 4x2 + 4x2X + -1x3 + -1x3X

Combine like terms: x3X + -1x3X = 0
-20i + -20iX + 5ix + 5ixX + 0 = 4x2 + 4x2X + -1x3 + -1x3X
-20i + -20iX + 5ix + 5ixX = 4x2 + 4x2X + -1x3 + -1x3X

Reorder the terms:
-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + x3 + x3X = 4x2 + -4x2 + 4x2X + -4x2X + -1x3 + x3 + -1x3X + x3X

Combine like terms: 4x2 + -4x2 = 0
-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + x3 + x3X = 0 + 4x2X + -4x2X + -1x3 + x3 + -1x3X + x3X
-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + x3 + x3X = 4x2X + -4x2X + -1x3 + x3 + -1x3X + x3X

Combine like terms: 4x2X + -4x2X = 0
-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + x3 + x3X = 0 + -1x3 + x3 + -1x3X + x3X
-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + x3 + x3X = -1x3 + x3 + -1x3X + x3X

Combine like terms: -1x3 + x3 = 0
-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + x3 + x3X = 0 + -1x3X + x3X
-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + x3 + x3X = -1x3X + x3X

Combine like terms: -1x3X + x3X = 0
-20i + -20iX + 5ix + 5ixX + -4x2 + -4x2X + x3 + x3X = 0

The solution to this equation could not be determined.

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