x^2+3ix-5(1+3i)=0

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Solution for x^2+3ix-5(1+3i)=0 equation:


Simplifying
x2 + 3ix + -5(1 + 3i) = 0
x2 + 3ix + (1 * -5 + 3i * -5) = 0
x2 + 3ix + (-5 + -15i) = 0

Reorder the terms:
-5 + -15i + 3ix + x2 = 0

Solving
-5 + -15i + 3ix + x2 = 0

Solving for variable 'i'.

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

Add '5' to each side of the equation.
-5 + -15i + 3ix + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + -15i + 3ix + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -15i + 3ix + x2 = 0 + 5
-15i + 3ix + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
-15i + 3ix + x2 = 5

Add '-1x2' to each side of the equation.
-15i + 3ix + x2 + -1x2 = 5 + -1x2

Combine like terms: x2 + -1x2 = 0
-15i + 3ix + 0 = 5 + -1x2
-15i + 3ix = 5 + -1x2

Reorder the terms:
-5 + -15i + 3ix + x2 = 5 + -1x2 + -5 + x2

Reorder the terms:
-5 + -15i + 3ix + x2 = 5 + -5 + -1x2 + x2

Combine like terms: 5 + -5 = 0
-5 + -15i + 3ix + x2 = 0 + -1x2 + x2
-5 + -15i + 3ix + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-5 + -15i + 3ix + x2 = 0

The solution to this equation could not be determined.

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