(x+3i)(x-3i)=34

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Solution for (x+3i)(x-3i)=34 equation: 


Simplifying
(x + 3i)(x + -3i) = 34

Reorder the terms:
(3i + x)(x + -3i) = 34

Reorder the terms:
(3i + x)(-3i + x) = 34

Multiply (3i + x) * (-3i + x)
(3i * (-3i + x) + x(-3i + x)) = 34
((-3i * 3i + x * 3i) + x(-3i + x)) = 34

Reorder the terms:
((3ix + -9i2) + x(-3i + x)) = 34
((3ix + -9i2) + x(-3i + x)) = 34
(3ix + -9i2 + (-3i * x + x * x)) = 34
(3ix + -9i2 + (-3ix + x2)) = 34

Reorder the terms:
(3ix + -3ix + -9i2 + x2) = 34

Combine like terms: 3ix + -3ix = 0
(0 + -9i2 + x2) = 34
(-9i2 + x2) = 34

Solving
-9i2 + x2 = 34

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 = 34 + -1x2

Combine like terms: x2 + -1x2 = 0
-9i2 + 0 = 34 + -1x2
-9i2 = 34 + -1x2

Divide each side by '-9'.
i2 = -3.777777778 + 0.1111111111x2

Simplifying
i2 = -3.777777778 + 0.1111111111x2

Reorder the terms:
3.777777778 + i2 + -0.1111111111x2 = -3.777777778 + 0.1111111111x2 + 3.777777778 + -0.1111111111x2

Reorder the terms:
3.777777778 + i2 + -0.1111111111x2 = -3.777777778 + 3.777777778 + 0.1111111111x2 + -0.1111111111x2

Combine like terms: -3.777777778 + 3.777777778 = 0.000000000
3.777777778 + i2 + -0.1111111111x2 = 0.000000000 + 0.1111111111x2 + -0.1111111111x2
3.777777778 + i2 + -0.1111111111x2 = 0.1111111111x2 + -0.1111111111x2

Combine like terms: 0.1111111111x2 + -0.1111111111x2 = 0.0000000000
3.777777778 + i2 + -0.1111111111x2 = 0.0000000000

The solution to this equation could not be determined.

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