(s-1-i)(s-1+i)=0

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Solution for (s-1-i)(s-1+i)=0 equation:


Simplifying
(s + -1 + -1i)(s + -1 + i) = 0

Reorder the terms:
(-1 + -1i + s)(s + -1 + i) = 0

Reorder the terms:
(-1 + -1i + s)(-1 + i + s) = 0

Multiply (-1 + -1i + s) * (-1 + i + s)
(-1(-1 + i + s) + -1i * (-1 + i + s) + s(-1 + i + s)) = 0
((-1 * -1 + i * -1 + s * -1) + -1i * (-1 + i + s) + s(-1 + i + s)) = 0
((1 + -1i + -1s) + -1i * (-1 + i + s) + s(-1 + i + s)) = 0
(1 + -1i + -1s + (-1 * -1i + i * -1i + s * -1i) + s(-1 + i + s)) = 0

Reorder the terms:
(1 + -1i + -1s + (1i + -1is + -1i2) + s(-1 + i + s)) = 0
(1 + -1i + -1s + (1i + -1is + -1i2) + s(-1 + i + s)) = 0
(1 + -1i + -1s + 1i + -1is + -1i2 + (-1 * s + i * s + s * s)) = 0

Reorder the terms:
(1 + -1i + -1s + 1i + -1is + -1i2 + (is + -1s + s2)) = 0
(1 + -1i + -1s + 1i + -1is + -1i2 + (is + -1s + s2)) = 0

Reorder the terms:
(1 + -1i + 1i + -1is + is + -1i2 + -1s + -1s + s2) = 0

Combine like terms: -1i + 1i = 0
(1 + 0 + -1is + is + -1i2 + -1s + -1s + s2) = 0
(1 + -1is + is + -1i2 + -1s + -1s + s2) = 0

Combine like terms: -1is + is = 0
(1 + 0 + -1i2 + -1s + -1s + s2) = 0
(1 + -1i2 + -1s + -1s + s2) = 0

Combine like terms: -1s + -1s = -2s
(1 + -1i2 + -2s + s2) = 0

Solving
1 + -1i2 + -2s + s2 = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1i2 + -2s + -1 + s2 = 0 + -1

Reorder the terms:
1 + -1 + -1i2 + -2s + s2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1i2 + -2s + s2 = 0 + -1
-1i2 + -2s + s2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1i2 + -2s + s2 = -1

Add '2s' to each side of the equation.
-1i2 + -2s + 2s + s2 = -1 + 2s

Combine like terms: -2s + 2s = 0
-1i2 + 0 + s2 = -1 + 2s
-1i2 + s2 = -1 + 2s

Add '-1s2' to each side of the equation.
-1i2 + s2 + -1s2 = -1 + 2s + -1s2

Combine like terms: s2 + -1s2 = 0
-1i2 + 0 = -1 + 2s + -1s2
-1i2 = -1 + 2s + -1s2

Divide each side by '-1'.
i2 = 1 + -2s + s2

Simplifying
i2 = 1 + -2s + s2

Reorder the terms:
-1 + i2 + 2s + -1s2 = 1 + -2s + s2 + -1 + 2s + -1s2

Reorder the terms:
-1 + i2 + 2s + -1s2 = 1 + -1 + -2s + 2s + s2 + -1s2

Combine like terms: 1 + -1 = 0
-1 + i2 + 2s + -1s2 = 0 + -2s + 2s + s2 + -1s2
-1 + i2 + 2s + -1s2 = -2s + 2s + s2 + -1s2

Combine like terms: -2s + 2s = 0
-1 + i2 + 2s + -1s2 = 0 + s2 + -1s2
-1 + i2 + 2s + -1s2 = s2 + -1s2

Combine like terms: s2 + -1s2 = 0
-1 + i2 + 2s + -1s2 = 0

The solution to this equation could not be determined.

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