(3+4i)(5+2i)=7+26i

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Solution for (3+4i)(5+2i)=7+26i equation: 


Simplifying
(3 + 4i)(5 + 2i) = 7 + 26i

Multiply (3 + 4i) * (5 + 2i)
(3(5 + 2i) + 4i * (5 + 2i)) = 7 + 26i
((5 * 3 + 2i * 3) + 4i * (5 + 2i)) = 7 + 26i
((15 + 6i) + 4i * (5 + 2i)) = 7 + 26i
(15 + 6i + (5 * 4i + 2i * 4i)) = 7 + 26i
(15 + 6i + (20i + 8i2)) = 7 + 26i

Combine like terms: 6i + 20i = 26i
(15 + 26i + 8i2) = 7 + 26i

Add '-26i' to each side of the equation.
15 + 26i + -26i + 8i2 = 7 + 26i + -26i

Combine like terms: 26i + -26i = 0
15 + 0 + 8i2 = 7 + 26i + -26i
15 + 8i2 = 7 + 26i + -26i

Combine like terms: 26i + -26i = 0
15 + 8i2 = 7 + 0
15 + 8i2 = 7

Solving
15 + 8i2 = 7

Solving for variable 'i'.

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

Add '-15' to each side of the equation.
15 + -15 + 8i2 = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 8i2 = 7 + -15
8i2 = 7 + -15

Combine like terms: 7 + -15 = -8
8i2 = -8

Divide each side by '8'.
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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