(6-8i)(2+7i)=68+26i

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Solution for (6-8i)(2+7i)=68+26i equation:


Simplifying
(6 + -8i)(2 + 7i) = 68 + 26i

Multiply (6 + -8i) * (2 + 7i)
(6(2 + 7i) + -8i * (2 + 7i)) = 68 + 26i
((2 * 6 + 7i * 6) + -8i * (2 + 7i)) = 68 + 26i
((12 + 42i) + -8i * (2 + 7i)) = 68 + 26i
(12 + 42i + (2 * -8i + 7i * -8i)) = 68 + 26i
(12 + 42i + (-16i + -56i2)) = 68 + 26i

Combine like terms: 42i + -16i = 26i
(12 + 26i + -56i2) = 68 + 26i

Add '-26i' to each side of the equation.
12 + 26i + -26i + -56i2 = 68 + 26i + -26i

Combine like terms: 26i + -26i = 0
12 + 0 + -56i2 = 68 + 26i + -26i
12 + -56i2 = 68 + 26i + -26i

Combine like terms: 26i + -26i = 0
12 + -56i2 = 68 + 0
12 + -56i2 = 68

Solving
12 + -56i2 = 68

Solving for variable 'i'.

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

Add '-12' to each side of the equation.
12 + -12 + -56i2 = 68 + -12

Combine like terms: 12 + -12 = 0
0 + -56i2 = 68 + -12
-56i2 = 68 + -12

Combine like terms: 68 + -12 = 56
-56i2 = 56

Divide each side by '-56'.
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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