(x+2+5i)(x+2-5i)=0

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Solution for (x+2+5i)(x+2-5i)=0 equation: 


Simplifying
(x + 2 + 5i)(x + 2 + -5i) = 0

Reorder the terms:
(2 + 5i + x)(x + 2 + -5i) = 0

Reorder the terms:
(2 + 5i + x)(2 + -5i + x) = 0

Multiply (2 + 5i + x) * (2 + -5i + x)
(2(2 + -5i + x) + 5i * (2 + -5i + x) + x(2 + -5i + x)) = 0
((2 * 2 + -5i * 2 + x * 2) + 5i * (2 + -5i + x) + x(2 + -5i + x)) = 0
((4 + -10i + 2x) + 5i * (2 + -5i + x) + x(2 + -5i + x)) = 0
(4 + -10i + 2x + (2 * 5i + -5i * 5i + x * 5i) + x(2 + -5i + x)) = 0

Reorder the terms:
(4 + -10i + 2x + (10i + 5ix + -25i2) + x(2 + -5i + x)) = 0
(4 + -10i + 2x + (10i + 5ix + -25i2) + x(2 + -5i + x)) = 0
(4 + -10i + 2x + 10i + 5ix + -25i2 + (2 * x + -5i * x + x * x)) = 0

Reorder the terms:
(4 + -10i + 2x + 10i + 5ix + -25i2 + (-5ix + 2x + x2)) = 0
(4 + -10i + 2x + 10i + 5ix + -25i2 + (-5ix + 2x + x2)) = 0

Reorder the terms:
(4 + -10i + 10i + 5ix + -5ix + -25i2 + 2x + 2x + x2) = 0

Combine like terms: -10i + 10i = 0
(4 + 0 + 5ix + -5ix + -25i2 + 2x + 2x + x2) = 0
(4 + 5ix + -5ix + -25i2 + 2x + 2x + x2) = 0

Combine like terms: 5ix + -5ix = 0
(4 + 0 + -25i2 + 2x + 2x + x2) = 0
(4 + -25i2 + 2x + 2x + x2) = 0

Combine like terms: 2x + 2x = 4x
(4 + -25i2 + 4x + x2) = 0

Solving
4 + -25i2 + 4x + x2 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -25i2 + 4x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -25i2 + 4x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -25i2 + 4x + x2 = 0 + -4
-25i2 + 4x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-25i2 + 4x + x2 = -4

Add '-4x' to each side of the equation.
-25i2 + 4x + -4x + x2 = -4 + -4x

Combine like terms: 4x + -4x = 0
-25i2 + 0 + x2 = -4 + -4x
-25i2 + x2 = -4 + -4x

Add '-1x2' to each side of the equation.
-25i2 + x2 + -1x2 = -4 + -4x + -1x2

Combine like terms: x2 + -1x2 = 0
-25i2 + 0 = -4 + -4x + -1x2
-25i2 = -4 + -4x + -1x2

Divide each side by '-25'.
i2 = 0.16 + 0.16x + 0.04x2

Simplifying
i2 = 0.16 + 0.16x + 0.04x2

Reorder the terms:
-0.16 + i2 + -0.16x + -0.04x2 = 0.16 + 0.16x + 0.04x2 + -0.16 + -0.16x + -0.04x2

Reorder the terms:
-0.16 + i2 + -0.16x + -0.04x2 = 0.16 + -0.16 + 0.16x + -0.16x + 0.04x2 + -0.04x2

Combine like terms: 0.16 + -0.16 = 0.00
-0.16 + i2 + -0.16x + -0.04x2 = 0.00 + 0.16x + -0.16x + 0.04x2 + -0.04x2
-0.16 + i2 + -0.16x + -0.04x2 = 0.16x + -0.16x + 0.04x2 + -0.04x2

Combine like terms: 0.16x + -0.16x = 0.00
-0.16 + i2 + -0.16x + -0.04x2 = 0.00 + 0.04x2 + -0.04x2
-0.16 + i2 + -0.16x + -0.04x2 = 0.04x2 + -0.04x2

Combine like terms: 0.04x2 + -0.04x2 = 0.00
-0.16 + i2 + -0.16x + -0.04x2 = 0.00

The solution to this equation could not be determined.

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