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

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


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

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

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

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

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

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

Combine like terms: 9ix + -9ix = 0
(0 + 27i2 + -3x2) = -3x2 + -27
(27i2 + -3x2) = -3x2 + -27

Reorder the terms:
27i2 + -3x2 = -27 + -3x2

Add '3x2' to each side of the equation.
27i2 + -3x2 + 3x2 = -27 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
27i2 + 0 = -27 + -3x2 + 3x2
27i2 = -27 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
27i2 = -27 + 0
27i2 = -27

Solving
27i2 = -27

Solving for variable 'i'.

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

Divide each side by '27'.
i2 = -1

Simplifying
i2 = -1

Reorder the terms:
1 + i2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + i2 = 0

The solution to this equation could not be determined.

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