F(x)=(X+3)(x-2i)(x+2i)

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Solution for F(x)=(X+3)(x-2i)(x+2i) equation: 


Simplifying
F(x) = (X + 3)(x + -2i)(x + 2i)

Multiply F * x
xF = (X + 3)(x + -2i)(x + 2i)

Reorder the terms:
xF = (3 + X)(x + -2i)(x + 2i)

Reorder the terms:
xF = (3 + X)(-2i + x)(x + 2i)

Reorder the terms:
xF = (3 + X)(-2i + x)(2i + x)

Multiply (3 + X) * (-2i + x)
xF = (3(-2i + x) + X(-2i + x))(2i + x)
xF = ((-2i * 3 + x * 3) + X(-2i + x))(2i + x)
xF = ((-6i + 3x) + X(-2i + x))(2i + x)
xF = (-6i + 3x + (-2i * X + x * X))(2i + x)
xF = (-6i + 3x + (-2iX + xX))(2i + x)

Reorder the terms:
xF = (-6i + -2iX + 3x + xX)(2i + x)
xF = (-6i + -2iX + 3x + xX)(2i + x)

Multiply (-6i + -2iX + 3x + xX) * (2i + x)
xF = (-6i * (2i + x) + -2iX * (2i + x) + 3x * (2i + x) + xX(2i + x))
xF = ((2i * -6i + x * -6i) + -2iX * (2i + x) + 3x * (2i + x) + xX(2i + x))

Reorder the terms:
xF = ((-6ix + -12i2) + -2iX * (2i + x) + 3x * (2i + x) + xX(2i + x))
xF = ((-6ix + -12i2) + -2iX * (2i + x) + 3x * (2i + x) + xX(2i + x))
xF = (-6ix + -12i2 + (2i * -2iX + x * -2iX) + 3x * (2i + x) + xX(2i + x))

Reorder the terms:
xF = (-6ix + -12i2 + (-2ixX + -4i2X) + 3x * (2i + x) + xX(2i + x))
xF = (-6ix + -12i2 + (-2ixX + -4i2X) + 3x * (2i + x) + xX(2i + x))
xF = (-6ix + -12i2 + -2ixX + -4i2X + (2i * 3x + x * 3x) + xX(2i + x))
xF = (-6ix + -12i2 + -2ixX + -4i2X + (6ix + 3x2) + xX(2i + x))
xF = (-6ix + -12i2 + -2ixX + -4i2X + 6ix + 3x2 + (2i * xX + x * xX))
xF = (-6ix + -12i2 + -2ixX + -4i2X + 6ix + 3x2 + (2ixX + x2X))

Reorder the terms:
xF = (-6ix + 6ix + -2ixX + 2ixX + -12i2 + -4i2X + 3x2 + x2X)

Combine like terms: -6ix + 6ix = 0
xF = (0 + -2ixX + 2ixX + -12i2 + -4i2X + 3x2 + x2X)
xF = (-2ixX + 2ixX + -12i2 + -4i2X + 3x2 + x2X)

Combine like terms: -2ixX + 2ixX = 0
xF = (0 + -12i2 + -4i2X + 3x2 + x2X)
xF = (-12i2 + -4i2X + 3x2 + x2X)

Solving
xF = -12i2 + -4i2X + 3x2 + x2X

Solving for variable 'x'.

Reorder the terms:
12i2 + 4i2X + xF + -3x2 + -1x2X = -12i2 + -4i2X + 3x2 + x2X + 12i2 + 4i2X + -3x2 + -1x2X

Reorder the terms:
12i2 + 4i2X + xF + -3x2 + -1x2X = -12i2 + 12i2 + -4i2X + 4i2X + 3x2 + -3x2 + x2X + -1x2X

Combine like terms: -12i2 + 12i2 = 0
12i2 + 4i2X + xF + -3x2 + -1x2X = 0 + -4i2X + 4i2X + 3x2 + -3x2 + x2X + -1x2X
12i2 + 4i2X + xF + -3x2 + -1x2X = -4i2X + 4i2X + 3x2 + -3x2 + x2X + -1x2X

Combine like terms: -4i2X + 4i2X = 0
12i2 + 4i2X + xF + -3x2 + -1x2X = 0 + 3x2 + -3x2 + x2X + -1x2X
12i2 + 4i2X + xF + -3x2 + -1x2X = 3x2 + -3x2 + x2X + -1x2X

Combine like terms: 3x2 + -3x2 = 0
12i2 + 4i2X + xF + -3x2 + -1x2X = 0 + x2X + -1x2X
12i2 + 4i2X + xF + -3x2 + -1x2X = x2X + -1x2X

Combine like terms: x2X + -1x2X = 0
12i2 + 4i2X + xF + -3x2 + -1x2X = 0

The solution to this equation could not be determined.

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