(4-4i)(6+i)=28-20i

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Solution for (4-4i)(6+i)=28-20i equation:


Simplifying
(4 + -4i)(6 + i) = 28 + -20i

Multiply (4 + -4i) * (6 + i)
(4(6 + i) + -4i * (6 + i)) = 28 + -20i
((6 * 4 + i * 4) + -4i * (6 + i)) = 28 + -20i
((24 + 4i) + -4i * (6 + i)) = 28 + -20i
(24 + 4i + (6 * -4i + i * -4i)) = 28 + -20i
(24 + 4i + (-24i + -4i2)) = 28 + -20i

Combine like terms: 4i + -24i = -20i
(24 + -20i + -4i2) = 28 + -20i

Add '20i' to each side of the equation.
24 + -20i + 20i + -4i2 = 28 + -20i + 20i

Combine like terms: -20i + 20i = 0
24 + 0 + -4i2 = 28 + -20i + 20i
24 + -4i2 = 28 + -20i + 20i

Combine like terms: -20i + 20i = 0
24 + -4i2 = 28 + 0
24 + -4i2 = 28

Solving
24 + -4i2 = 28

Solving for variable 'i'.

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

Add '-24' to each side of the equation.
24 + -24 + -4i2 = 28 + -24

Combine like terms: 24 + -24 = 0
0 + -4i2 = 28 + -24
-4i2 = 28 + -24

Combine like terms: 28 + -24 = 4
-4i2 = 4

Divide each side by '-4'.
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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