(x-(3+7i))(x-(3-7i))=

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Solution for (x-(3+7i))(x-(3-7i))= equation: 


Simplifying
(x + -1(3 + 7i))(x + -1(3 + -7i)) = 0
(x + (3 * -1 + 7i * -1))(x + -1(3 + -7i)) = 0
(x + (-3 + -7i))(x + -1(3 + -7i)) = 0

Reorder the terms:
(-3 + -7i + x)(x + -1(3 + -7i)) = 0
(-3 + -7i + x)(x + (3 * -1 + -7i * -1)) = 0
(-3 + -7i + x)(x + (-3 + 7i)) = 0

Reorder the terms:
(-3 + -7i + x)(-3 + 7i + x) = 0

Multiply (-3 + -7i + x) * (-3 + 7i + x)
(-3(-3 + 7i + x) + -7i * (-3 + 7i + x) + x(-3 + 7i + x)) = 0
((-3 * -3 + 7i * -3 + x * -3) + -7i * (-3 + 7i + x) + x(-3 + 7i + x)) = 0
((9 + -21i + -3x) + -7i * (-3 + 7i + x) + x(-3 + 7i + x)) = 0
(9 + -21i + -3x + (-3 * -7i + 7i * -7i + x * -7i) + x(-3 + 7i + x)) = 0

Reorder the terms:
(9 + -21i + -3x + (21i + -7ix + -49i2) + x(-3 + 7i + x)) = 0
(9 + -21i + -3x + (21i + -7ix + -49i2) + x(-3 + 7i + x)) = 0
(9 + -21i + -3x + 21i + -7ix + -49i2 + (-3 * x + 7i * x + x * x)) = 0

Reorder the terms:
(9 + -21i + -3x + 21i + -7ix + -49i2 + (7ix + -3x + x2)) = 0
(9 + -21i + -3x + 21i + -7ix + -49i2 + (7ix + -3x + x2)) = 0

Reorder the terms:
(9 + -21i + 21i + -7ix + 7ix + -49i2 + -3x + -3x + x2) = 0

Combine like terms: -21i + 21i = 0
(9 + 0 + -7ix + 7ix + -49i2 + -3x + -3x + x2) = 0
(9 + -7ix + 7ix + -49i2 + -3x + -3x + x2) = 0

Combine like terms: -7ix + 7ix = 0
(9 + 0 + -49i2 + -3x + -3x + x2) = 0
(9 + -49i2 + -3x + -3x + x2) = 0

Combine like terms: -3x + -3x = -6x
(9 + -49i2 + -6x + x2) = 0

Solving
9 + -49i2 + -6x + x2 = 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 + -49i2 + -6x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -49i2 + -6x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -49i2 + -6x + x2 = 0 + -9
-49i2 + -6x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-49i2 + -6x + x2 = -9

Add '6x' to each side of the equation.
-49i2 + -6x + 6x + x2 = -9 + 6x

Combine like terms: -6x + 6x = 0
-49i2 + 0 + x2 = -9 + 6x
-49i2 + x2 = -9 + 6x

Add '-1x2' to each side of the equation.
-49i2 + x2 + -1x2 = -9 + 6x + -1x2

Combine like terms: x2 + -1x2 = 0
-49i2 + 0 = -9 + 6x + -1x2
-49i2 = -9 + 6x + -1x2

Divide each side by '-49'.
i2 = 0.1836734694 + -0.1224489796x + 0.02040816327x2

Simplifying
i2 = 0.1836734694 + -0.1224489796x + 0.02040816327x2

Reorder the terms:
-0.1836734694 + i2 + 0.1224489796x + -0.02040816327x2 = 0.1836734694 + -0.1224489796x + 0.02040816327x2 + -0.1836734694 + 0.1224489796x + -0.02040816327x2

Reorder the terms:
-0.1836734694 + i2 + 0.1224489796x + -0.02040816327x2 = 0.1836734694 + -0.1836734694 + -0.1224489796x + 0.1224489796x + 0.02040816327x2 + -0.02040816327x2

Combine like terms: 0.1836734694 + -0.1836734694 = 0.0000000000
-0.1836734694 + i2 + 0.1224489796x + -0.02040816327x2 = 0.0000000000 + -0.1224489796x + 0.1224489796x + 0.02040816327x2 + -0.02040816327x2
-0.1836734694 + i2 + 0.1224489796x + -0.02040816327x2 = -0.1224489796x + 0.1224489796x + 0.02040816327x2 + -0.02040816327x2

Combine like terms: -0.1224489796x + 0.1224489796x = 0.0000000000
-0.1836734694 + i2 + 0.1224489796x + -0.02040816327x2 = 0.0000000000 + 0.02040816327x2 + -0.02040816327x2
-0.1836734694 + i2 + 0.1224489796x + -0.02040816327x2 = 0.02040816327x2 + -0.02040816327x2

Combine like terms: 0.02040816327x2 + -0.02040816327x2 = 0.00000000000
-0.1836734694 + i2 + 0.1224489796x + -0.02040816327x2 = 0.00000000000

The solution to this equation could not be determined.

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