(7-6i)(-8+3i)=-38+69i

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Solution for (7-6i)(-8+3i)=-38+69i equation:


Simplifying
(7 + -6i)(-8 + 3i) = -38 + 69i

Multiply (7 + -6i) * (-8 + 3i)
(7(-8 + 3i) + -6i * (-8 + 3i)) = -38 + 69i
((-8 * 7 + 3i * 7) + -6i * (-8 + 3i)) = -38 + 69i
((-56 + 21i) + -6i * (-8 + 3i)) = -38 + 69i
(-56 + 21i + (-8 * -6i + 3i * -6i)) = -38 + 69i
(-56 + 21i + (48i + -18i2)) = -38 + 69i

Combine like terms: 21i + 48i = 69i
(-56 + 69i + -18i2) = -38 + 69i

Add '-69i' to each side of the equation.
-56 + 69i + -69i + -18i2 = -38 + 69i + -69i

Combine like terms: 69i + -69i = 0
-56 + 0 + -18i2 = -38 + 69i + -69i
-56 + -18i2 = -38 + 69i + -69i

Combine like terms: 69i + -69i = 0
-56 + -18i2 = -38 + 0
-56 + -18i2 = -38

Solving
-56 + -18i2 = -38

Solving for variable 'i'.

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

Add '56' to each side of the equation.
-56 + 56 + -18i2 = -38 + 56

Combine like terms: -56 + 56 = 0
0 + -18i2 = -38 + 56
-18i2 = -38 + 56

Combine like terms: -38 + 56 = 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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