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

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


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

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

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

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

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

Multiply (2X + -6i + -3ix + xX) * (X + 3i)
xF = x(2X * (X + 3i) + -6i * (X + 3i) + -3ix * (X + 3i) + xX(X + 3i))
xF = x((X * 2X + 3i * 2X) + -6i * (X + 3i) + -3ix * (X + 3i) + xX(X + 3i))
xF = x((2X2 + 6iX) + -6i * (X + 3i) + -3ix * (X + 3i) + xX(X + 3i))
xF = x(2X2 + 6iX + (X * -6i + 3i * -6i) + -3ix * (X + 3i) + xX(X + 3i))
xF = x(2X2 + 6iX + (-6iX + -18i2) + -3ix * (X + 3i) + xX(X + 3i))
xF = x(2X2 + 6iX + -6iX + -18i2 + (X * -3ix + 3i * -3ix) + xX(X + 3i))
xF = x(2X2 + 6iX + -6iX + -18i2 + (-3ixX + -9i2x) + xX(X + 3i))
xF = x(2X2 + 6iX + -6iX + -18i2 + -3ixX + -9i2x + (X * xX + 3i * xX))

Reorder the terms:
xF = x(2X2 + 6iX + -6iX + -18i2 + -3ixX + -9i2x + (3ixX + xX2))
xF = x(2X2 + 6iX + -6iX + -18i2 + -3ixX + -9i2x + (3ixX + xX2))

Reorder the terms:
xF = x(2X2 + 6iX + -6iX + -3ixX + 3ixX + -18i2 + -9i2x + xX2)

Combine like terms: 6iX + -6iX = 0
xF = x(2X2 + 0 + -3ixX + 3ixX + -18i2 + -9i2x + xX2)
xF = x(2X2 + -3ixX + 3ixX + -18i2 + -9i2x + xX2)

Combine like terms: -3ixX + 3ixX = 0
xF = x(2X2 + 0 + -18i2 + -9i2x + xX2)
xF = x(2X2 + -18i2 + -9i2x + xX2)
xF = (2X2 * x + -18i2 * x + -9i2x * x + xX2 * x)

Reorder the terms:
xF = (-18i2x + -9i2x2 + 2xX2 + x2X2)
xF = (-18i2x + -9i2x2 + 2xX2 + x2X2)

Solving
xF = -18i2x + -9i2x2 + 2xX2 + x2X2

Solving for variable 'x'.

Reorder the terms:
18i2x + 9i2x2 + xF + -2xX2 + -1x2X2 = -18i2x + -9i2x2 + 2xX2 + x2X2 + 18i2x + 9i2x2 + -2xX2 + -1x2X2

Reorder the terms:
18i2x + 9i2x2 + xF + -2xX2 + -1x2X2 = -18i2x + 18i2x + -9i2x2 + 9i2x2 + 2xX2 + -2xX2 + x2X2 + -1x2X2

Combine like terms: -18i2x + 18i2x = 0
18i2x + 9i2x2 + xF + -2xX2 + -1x2X2 = 0 + -9i2x2 + 9i2x2 + 2xX2 + -2xX2 + x2X2 + -1x2X2
18i2x + 9i2x2 + xF + -2xX2 + -1x2X2 = -9i2x2 + 9i2x2 + 2xX2 + -2xX2 + x2X2 + -1x2X2

Combine like terms: -9i2x2 + 9i2x2 = 0
18i2x + 9i2x2 + xF + -2xX2 + -1x2X2 = 0 + 2xX2 + -2xX2 + x2X2 + -1x2X2
18i2x + 9i2x2 + xF + -2xX2 + -1x2X2 = 2xX2 + -2xX2 + x2X2 + -1x2X2

Combine like terms: 2xX2 + -2xX2 = 0
18i2x + 9i2x2 + xF + -2xX2 + -1x2X2 = 0 + x2X2 + -1x2X2
18i2x + 9i2x2 + xF + -2xX2 + -1x2X2 = x2X2 + -1x2X2

Combine like terms: x2X2 + -1x2X2 = 0
18i2x + 9i2x2 + xF + -2xX2 + -1x2X2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(18i2 + 9i2x + F + -2X2 + -1xX2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(18i2 + 9i2x + F + -2X2 + -1xX2)' equal to zero and attempt to solve:

Simplifying
18i2 + 9i2x + F + -2X2 + -1xX2 = 0

Reorder the terms:
F + -2X2 + 18i2 + 9i2x + -1xX2 = 0

Solving
F + -2X2 + 18i2 + 9i2x + -1xX2 = 0

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

Add '-1F' to each side of the equation.
F + -2X2 + 18i2 + 9i2x + -1F + -1xX2 = 0 + -1F

Reorder the terms:
F + -1F + -2X2 + 18i2 + 9i2x + -1xX2 = 0 + -1F

Combine like terms: F + -1F = 0
0 + -2X2 + 18i2 + 9i2x + -1xX2 = 0 + -1F
-2X2 + 18i2 + 9i2x + -1xX2 = 0 + -1F
Remove the zero:
-2X2 + 18i2 + 9i2x + -1xX2 = -1F

Add '2X2' to each side of the equation.
-2X2 + 18i2 + 9i2x + 2X2 + -1xX2 = -1F + 2X2

Reorder the terms:
-2X2 + 2X2 + 18i2 + 9i2x + -1xX2 = -1F + 2X2

Combine like terms: -2X2 + 2X2 = 0
0 + 18i2 + 9i2x + -1xX2 = -1F + 2X2
18i2 + 9i2x + -1xX2 = -1F + 2X2

Add '-18i2' to each side of the equation.
18i2 + 9i2x + -18i2 + -1xX2 = -1F + 2X2 + -18i2

Reorder the terms:
18i2 + -18i2 + 9i2x + -1xX2 = -1F + 2X2 + -18i2

Combine like terms: 18i2 + -18i2 = 0
0 + 9i2x + -1xX2 = -1F + 2X2 + -18i2
9i2x + -1xX2 = -1F + 2X2 + -18i2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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