(x+3-5i)(x+3+5i)=0

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Solution for (x+3-5i)(x+3+5i)=0 equation: 


Simplifying
(x + 3 + -5i)(x + 3 + 5i) = 0

Reorder the terms:
(3 + -5i + x)(x + 3 + 5i) = 0

Reorder the terms:
(3 + -5i + x)(3 + 5i + x) = 0

Multiply (3 + -5i + x) * (3 + 5i + x)
(3(3 + 5i + x) + -5i * (3 + 5i + x) + x(3 + 5i + x)) = 0
((3 * 3 + 5i * 3 + x * 3) + -5i * (3 + 5i + x) + x(3 + 5i + x)) = 0
((9 + 15i + 3x) + -5i * (3 + 5i + x) + x(3 + 5i + x)) = 0
(9 + 15i + 3x + (3 * -5i + 5i * -5i + x * -5i) + x(3 + 5i + x)) = 0

Reorder the terms:
(9 + 15i + 3x + (-15i + -5ix + -25i2) + x(3 + 5i + x)) = 0
(9 + 15i + 3x + (-15i + -5ix + -25i2) + x(3 + 5i + x)) = 0
(9 + 15i + 3x + -15i + -5ix + -25i2 + (3 * x + 5i * x + x * x)) = 0

Reorder the terms:
(9 + 15i + 3x + -15i + -5ix + -25i2 + (5ix + 3x + x2)) = 0
(9 + 15i + 3x + -15i + -5ix + -25i2 + (5ix + 3x + x2)) = 0

Reorder the terms:
(9 + 15i + -15i + -5ix + 5ix + -25i2 + 3x + 3x + x2) = 0

Combine like terms: 15i + -15i = 0
(9 + 0 + -5ix + 5ix + -25i2 + 3x + 3x + x2) = 0
(9 + -5ix + 5ix + -25i2 + 3x + 3x + x2) = 0

Combine like terms: -5ix + 5ix = 0
(9 + 0 + -25i2 + 3x + 3x + x2) = 0
(9 + -25i2 + 3x + 3x + x2) = 0

Combine like terms: 3x + 3x = 6x
(9 + -25i2 + 6x + x2) = 0

Solving
9 + -25i2 + 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 + -25i2 + 6x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -25i2 + 6x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -25i2 + 6x + x2 = 0 + -9
-25i2 + 6x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-25i2 + 6x + x2 = -9

Add '-6x' to each side of the equation.
-25i2 + 6x + -6x + x2 = -9 + -6x

Combine like terms: 6x + -6x = 0
-25i2 + 0 + x2 = -9 + -6x
-25i2 + x2 = -9 + -6x

Add '-1x2' to each side of the equation.
-25i2 + x2 + -1x2 = -9 + -6x + -1x2

Combine like terms: x2 + -1x2 = 0
-25i2 + 0 = -9 + -6x + -1x2
-25i2 = -9 + -6x + -1x2

Divide each side by '-25'.
i2 = 0.36 + 0.24x + 0.04x2

Simplifying
i2 = 0.36 + 0.24x + 0.04x2

Reorder the terms:
-0.36 + i2 + -0.24x + -0.04x2 = 0.36 + 0.24x + 0.04x2 + -0.36 + -0.24x + -0.04x2

Reorder the terms:
-0.36 + i2 + -0.24x + -0.04x2 = 0.36 + -0.36 + 0.24x + -0.24x + 0.04x2 + -0.04x2

Combine like terms: 0.36 + -0.36 = 0.00
-0.36 + i2 + -0.24x + -0.04x2 = 0.00 + 0.24x + -0.24x + 0.04x2 + -0.04x2
-0.36 + i2 + -0.24x + -0.04x2 = 0.24x + -0.24x + 0.04x2 + -0.04x2

Combine like terms: 0.24x + -0.24x = 0.00
-0.36 + i2 + -0.24x + -0.04x2 = 0.00 + 0.04x2 + -0.04x2
-0.36 + i2 + -0.24x + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
-0.36 + i2 + -0.24x + -0.04x2 = 0.00

The solution to this equation could not be determined.

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