(3i-2)(6i+4)=-26

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Solution for (3i-2)(6i+4)=-26 equation:


Simplifying
(3i + -2)(6i + 4) = -26

Reorder the terms:
(-2 + 3i)(6i + 4) = -26

Reorder the terms:
(-2 + 3i)(4 + 6i) = -26

Multiply (-2 + 3i) * (4 + 6i)
(-2(4 + 6i) + 3i * (4 + 6i)) = -26
((4 * -2 + 6i * -2) + 3i * (4 + 6i)) = -26
((-8 + -12i) + 3i * (4 + 6i)) = -26
(-8 + -12i + (4 * 3i + 6i * 3i)) = -26
(-8 + -12i + (12i + 18i2)) = -26

Combine like terms: -12i + 12i = 0
(-8 + 0 + 18i2) = -26
(-8 + 18i2) = -26

Solving
-8 + 18i2 = -26

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 8 + 18i2 = -26 + 8

Combine like terms: -8 + 8 = 0
0 + 18i2 = -26 + 8
18i2 = -26 + 8

Combine like terms: -26 + 8 = -18
18i2 = -18

Divide each side by '18'.
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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