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

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


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

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

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

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

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

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

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

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

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

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

Reorder the terms:
(-25i2x + 4x + -4x2 + x3) = 0
(-25i2x + 4x + -4x2 + x3) = 0

Solving
-25i2x + 4x + -4x2 + x3 = 0

Solving for variable 'i'.

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

Add '-4x' to each side of the equation.
-25i2x + 4x + -4x2 + -4x + x3 = 0 + -4x

Reorder the terms:
-25i2x + 4x + -4x + -4x2 + x3 = 0 + -4x

Combine like terms: 4x + -4x = 0
-25i2x + 0 + -4x2 + x3 = 0 + -4x
-25i2x + -4x2 + x3 = 0 + -4x
Remove the zero:
-25i2x + -4x2 + x3 = -4x

Add '4x2' to each side of the equation.
-25i2x + -4x2 + 4x2 + x3 = -4x + 4x2

Combine like terms: -4x2 + 4x2 = 0
-25i2x + 0 + x3 = -4x + 4x2
-25i2x + x3 = -4x + 4x2

Add '-1x3' to each side of the equation.
-25i2x + x3 + -1x3 = -4x + 4x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-25i2x + 0 = -4x + 4x2 + -1x3
-25i2x = -4x + 4x2 + -1x3

Divide each side by '-25x'.
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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