(X+7)(x-2i)(x+2i)=0

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Solution for (X+7)(x-2i)(x+2i)=0 equation: 


Simplifying
(X + 7)(x + -2i)(x + 2i) = 0

Reorder the terms:
(7 + X)(x + -2i)(x + 2i) = 0

Reorder the terms:
(7 + X)(-2i + x)(x + 2i) = 0

Reorder the terms:
(7 + X)(-2i + x)(2i + x) = 0

Multiply (7 + X) * (-2i + x)
(7(-2i + x) + X(-2i + x))(2i + x) = 0
((-2i * 7 + x * 7) + X(-2i + x))(2i + x) = 0
((-14i + 7x) + X(-2i + x))(2i + x) = 0
(-14i + 7x + (-2i * X + x * X))(2i + x) = 0
(-14i + 7x + (-2iX + xX))(2i + x) = 0

Reorder the terms:
(-14i + -2iX + 7x + xX)(2i + x) = 0
(-14i + -2iX + 7x + xX)(2i + x) = 0

Multiply (-14i + -2iX + 7x + xX) * (2i + x)
(-14i * (2i + x) + -2iX * (2i + x) + 7x * (2i + x) + xX(2i + x)) = 0
((2i * -14i + x * -14i) + -2iX * (2i + x) + 7x * (2i + x) + xX(2i + x)) = 0

Reorder the terms:
((-14ix + -28i2) + -2iX * (2i + x) + 7x * (2i + x) + xX(2i + x)) = 0
((-14ix + -28i2) + -2iX * (2i + x) + 7x * (2i + x) + xX(2i + x)) = 0
(-14ix + -28i2 + (2i * -2iX + x * -2iX) + 7x * (2i + x) + xX(2i + x)) = 0

Reorder the terms:
(-14ix + -28i2 + (-2ixX + -4i2X) + 7x * (2i + x) + xX(2i + x)) = 0
(-14ix + -28i2 + (-2ixX + -4i2X) + 7x * (2i + x) + xX(2i + x)) = 0
(-14ix + -28i2 + -2ixX + -4i2X + (2i * 7x + x * 7x) + xX(2i + x)) = 0
(-14ix + -28i2 + -2ixX + -4i2X + (14ix + 7x2) + xX(2i + x)) = 0
(-14ix + -28i2 + -2ixX + -4i2X + 14ix + 7x2 + (2i * xX + x * xX)) = 0
(-14ix + -28i2 + -2ixX + -4i2X + 14ix + 7x2 + (2ixX + x2X)) = 0

Reorder the terms:
(-14ix + 14ix + -2ixX + 2ixX + -28i2 + -4i2X + 7x2 + x2X) = 0

Combine like terms: -14ix + 14ix = 0
(0 + -2ixX + 2ixX + -28i2 + -4i2X + 7x2 + x2X) = 0
(-2ixX + 2ixX + -28i2 + -4i2X + 7x2 + x2X) = 0

Combine like terms: -2ixX + 2ixX = 0
(0 + -28i2 + -4i2X + 7x2 + x2X) = 0
(-28i2 + -4i2X + 7x2 + x2X) = 0

Solving
-28i2 + -4i2X + 7x2 + x2X = 0

Solving for variable 'i'.

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

Add '-7x2' to each side of the equation.
-28i2 + -4i2X + 7x2 + -7x2 + x2X = 0 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-28i2 + -4i2X + 0 + x2X = 0 + -7x2
-28i2 + -4i2X + x2X = 0 + -7x2
Remove the zero:
-28i2 + -4i2X + x2X = -7x2

Add '-1x2X' to each side of the equation.
-28i2 + -4i2X + x2X + -1x2X = -7x2 + -1x2X

Combine like terms: x2X + -1x2X = 0
-28i2 + -4i2X + 0 = -7x2 + -1x2X
-28i2 + -4i2X = -7x2 + -1x2X

Reorder the terms:
-28i2 + -4i2X + 7x2 + x2X = -7x2 + 7x2 + -1x2X + x2X

Combine like terms: -7x2 + 7x2 = 0
-28i2 + -4i2X + 7x2 + x2X = 0 + -1x2X + x2X
-28i2 + -4i2X + 7x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
-28i2 + -4i2X + 7x2 + x2X = 0

The solution to this equation could not be determined.

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