(x-3i)(x+3i)=x

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


Simplifying
(x + -3i)(x + 3i) = x

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

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

Multiply (-3i + x) * (3i + x)
(-3i * (3i + x) + x(3i + x)) = x
((3i * -3i + x * -3i) + x(3i + x)) = x

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

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

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

Solving
-9i2 + x2 = x

Solving for variable 'i'.

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

Add '-1x2' to each side of the equation.
-9i2 + x2 + -1x2 = x + -1x2

Combine like terms: x2 + -1x2 = 0
-9i2 + 0 = x + -1x2
-9i2 = x + -1x2

Divide each side by '-9'.
i2 = -0.1111111111x + 0.1111111111x2

Simplifying
i2 = -0.1111111111x + 0.1111111111x2

Reorder the terms:
i2 + 0.1111111111x + -0.1111111111x2 = -0.1111111111x + 0.1111111111x + 0.1111111111x2 + -0.1111111111x2

Combine like terms: -0.1111111111x + 0.1111111111x = 0.0000000000
i2 + 0.1111111111x + -0.1111111111x2 = 0.0000000000 + 0.1111111111x2 + -0.1111111111x2
i2 + 0.1111111111x + -0.1111111111x2 = 0.1111111111x2 + -0.1111111111x2

Combine like terms: 0.1111111111x2 + -0.1111111111x2 = 0.0000000000
i2 + 0.1111111111x + -0.1111111111x2 = 0.0000000000

The solution to this equation could not be determined.

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