(-10+i)(-10-i)=a+bi

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Solution for (-10+i)(-10-i)=a+bi equation: 


Simplifying
(-10 + i)(-10 + -1i) = a + bi

Multiply (-10 + i) * (-10 + -1i)
(-10(-10 + -1i) + i(-10 + -1i)) = a + bi
((-10 * -10 + -1i * -10) + i(-10 + -1i)) = a + bi
((100 + 10i) + i(-10 + -1i)) = a + bi
(100 + 10i + (-10 * i + -1i * i)) = a + bi
(100 + 10i + (-10i + -1i2)) = a + bi

Combine like terms: 10i + -10i = 0
(100 + 0 + -1i2) = a + bi
(100 + -1i2) = a + bi

Solving
100 + -1i2 = a + bi

Solving for variable 'i'.

Reorder the terms:
100 + -1a + -1bi + -1i2 = a + bi + -1a + -1bi

Reorder the terms:
100 + -1a + -1bi + -1i2 = a + -1a + bi + -1bi

Combine like terms: a + -1a = 0
100 + -1a + -1bi + -1i2 = 0 + bi + -1bi
100 + -1a + -1bi + -1i2 = bi + -1bi

Combine like terms: bi + -1bi = 0
100 + -1a + -1bi + -1i2 = 0

The solution to this equation could not be determined.

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