(s+3-2i)(s+3+2i)=0

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Solution for (s+3-2i)(s+3+2i)=0 equation: 


Simplifying
(s + 3 + -2i)(s + 3 + 2i) = 0

Reorder the terms:
(3 + -2i + s)(s + 3 + 2i) = 0

Reorder the terms:
(3 + -2i + s)(3 + 2i + s) = 0

Multiply (3 + -2i + s) * (3 + 2i + s)
(3(3 + 2i + s) + -2i * (3 + 2i + s) + s(3 + 2i + s)) = 0
((3 * 3 + 2i * 3 + s * 3) + -2i * (3 + 2i + s) + s(3 + 2i + s)) = 0
((9 + 6i + 3s) + -2i * (3 + 2i + s) + s(3 + 2i + s)) = 0
(9 + 6i + 3s + (3 * -2i + 2i * -2i + s * -2i) + s(3 + 2i + s)) = 0

Reorder the terms:
(9 + 6i + 3s + (-6i + -2is + -4i2) + s(3 + 2i + s)) = 0
(9 + 6i + 3s + (-6i + -2is + -4i2) + s(3 + 2i + s)) = 0
(9 + 6i + 3s + -6i + -2is + -4i2 + (3 * s + 2i * s + s * s)) = 0

Reorder the terms:
(9 + 6i + 3s + -6i + -2is + -4i2 + (2is + 3s + s2)) = 0
(9 + 6i + 3s + -6i + -2is + -4i2 + (2is + 3s + s2)) = 0

Reorder the terms:
(9 + 6i + -6i + -2is + 2is + -4i2 + 3s + 3s + s2) = 0

Combine like terms: 6i + -6i = 0
(9 + 0 + -2is + 2is + -4i2 + 3s + 3s + s2) = 0
(9 + -2is + 2is + -4i2 + 3s + 3s + s2) = 0

Combine like terms: -2is + 2is = 0
(9 + 0 + -4i2 + 3s + 3s + s2) = 0
(9 + -4i2 + 3s + 3s + s2) = 0

Combine like terms: 3s + 3s = 6s
(9 + -4i2 + 6s + s2) = 0

Solving
9 + -4i2 + 6s + s2 = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -4i2 + 6s + -9 + s2 = 0 + -9

Reorder the terms:
9 + -9 + -4i2 + 6s + s2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4i2 + 6s + s2 = 0 + -9
-4i2 + 6s + s2 = 0 + -9

Combine like terms: 0 + -9 = -9
-4i2 + 6s + s2 = -9

Add '-6s' to each side of the equation.
-4i2 + 6s + -6s + s2 = -9 + -6s

Combine like terms: 6s + -6s = 0
-4i2 + 0 + s2 = -9 + -6s
-4i2 + s2 = -9 + -6s

Add '-1s2' to each side of the equation.
-4i2 + s2 + -1s2 = -9 + -6s + -1s2

Combine like terms: s2 + -1s2 = 0
-4i2 + 0 = -9 + -6s + -1s2
-4i2 = -9 + -6s + -1s2

Divide each side by '-4'.
i2 = 2.25 + 1.5s + 0.25s2

Simplifying
i2 = 2.25 + 1.5s + 0.25s2

Reorder the terms:
-2.25 + i2 + -1.5s + -0.25s2 = 2.25 + 1.5s + 0.25s2 + -2.25 + -1.5s + -0.25s2

Reorder the terms:
-2.25 + i2 + -1.5s + -0.25s2 = 2.25 + -2.25 + 1.5s + -1.5s + 0.25s2 + -0.25s2

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + i2 + -1.5s + -0.25s2 = 0.00 + 1.5s + -1.5s + 0.25s2 + -0.25s2
-2.25 + i2 + -1.5s + -0.25s2 = 1.5s + -1.5s + 0.25s2 + -0.25s2

Combine like terms: 1.5s + -1.5s = 0.0
-2.25 + i2 + -1.5s + -0.25s2 = 0.0 + 0.25s2 + -0.25s2
-2.25 + i2 + -1.5s + -0.25s2 = 0.25s2 + -0.25s2

Combine like terms: 0.25s2 + -0.25s2 = 0.00
-2.25 + i2 + -1.5s + -0.25s2 = 0.00

The solution to this equation could not be determined.

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