is(-3x-9i)(x+3i)=-3x^2-27

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Solution for is(-3x-9i)(x+3i)=-3x^2-27 equation: 


Simplifying
is(-3x + -9i)(x + 3i) = -3x2 + -27

Reorder the terms:
is(-9i + -3x)(x + 3i) = -3x2 + -27

Reorder the terms:
is(-9i + -3x)(3i + x) = -3x2 + -27

Multiply (-9i + -3x) * (3i + x)
is(-9i * (3i + x) + -3x * (3i + x)) = -3x2 + -27
is((3i * -9i + x * -9i) + -3x * (3i + x)) = -3x2 + -27

Reorder the terms:
is((-9ix + -27i2) + -3x * (3i + x)) = -3x2 + -27
is((-9ix + -27i2) + -3x * (3i + x)) = -3x2 + -27
is(-9ix + -27i2 + (3i * -3x + x * -3x)) = -3x2 + -27
is(-9ix + -27i2 + (-9ix + -3x2)) = -3x2 + -27

Reorder the terms:
is(-9ix + -9ix + -27i2 + -3x2) = -3x2 + -27

Combine like terms: -9ix + -9ix = -18ix
is(-18ix + -27i2 + -3x2) = -3x2 + -27
(-18ix * is + -27i2 * is + -3x2 * is) = -3x2 + -27

Reorder the terms:
(-3isx2 + -18i2sx + -27i3s) = -3x2 + -27
(-3isx2 + -18i2sx + -27i3s) = -3x2 + -27

Reorder the terms:
-3isx2 + -18i2sx + -27i3s = -27 + -3x2

Solving
-3isx2 + -18i2sx + -27i3s = -27 + -3x2

Solving for variable 'i'.

Reorder the terms:
27 + -3isx2 + -18i2sx + -27i3s + 3x2 = -27 + -3x2 + 27 + 3x2

Reorder the terms:
27 + -3isx2 + -18i2sx + -27i3s + 3x2 = -27 + 27 + -3x2 + 3x2

Combine like terms: -27 + 27 = 0
27 + -3isx2 + -18i2sx + -27i3s + 3x2 = 0 + -3x2 + 3x2
27 + -3isx2 + -18i2sx + -27i3s + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
27 + -3isx2 + -18i2sx + -27i3s + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + -1isx2 + -6i2sx + -9i3s + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(9 + -1isx2 + -6i2sx + -9i3s + x2)' equal to zero and attempt to solve:

Simplifying
9 + -1isx2 + -6i2sx + -9i3s + x2 = 0

Solving
9 + -1isx2 + -6i2sx + -9i3s + x2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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