(3-5i)(6+10i)=x

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Solution for (3-5i)(6+10i)=x equation: 


Simplifying
(3 + -5i)(6 + 10i) = x

Multiply (3 + -5i) * (6 + 10i)
(3(6 + 10i) + -5i * (6 + 10i)) = x
((6 * 3 + 10i * 3) + -5i * (6 + 10i)) = x
((18 + 30i) + -5i * (6 + 10i)) = x
(18 + 30i + (6 * -5i + 10i * -5i)) = x
(18 + 30i + (-30i + -50i2)) = x

Combine like terms: 30i + -30i = 0
(18 + 0 + -50i2) = x
(18 + -50i2) = x

Solving
18 + -50i2 = x

Solving for variable 'i'.

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

Add '-18' to each side of the equation.
18 + -18 + -50i2 = -18 + x

Combine like terms: 18 + -18 = 0
0 + -50i2 = -18 + x
-50i2 = -18 + x

Divide each side by '-50'.
i2 = 0.36 + -0.02x

Simplifying
i2 = 0.36 + -0.02x

Reorder the terms:
-0.36 + i2 + 0.02x = 0.36 + -0.02x + -0.36 + 0.02x

Reorder the terms:
-0.36 + i2 + 0.02x = 0.36 + -0.36 + -0.02x + 0.02x

Combine like terms: 0.36 + -0.36 = 0.00
-0.36 + i2 + 0.02x = 0.00 + -0.02x + 0.02x
-0.36 + i2 + 0.02x = -0.02x + 0.02x

Combine like terms: -0.02x + 0.02x = 0.00
-0.36 + i2 + 0.02x = 0.00

The solution to this equation could not be determined.

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