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

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


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

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

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

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

Multiply (-2 + X) * (5i + x)
(-2(5i + x) + X(5i + x))(-5i + x) = 0
((5i * -2 + x * -2) + X(5i + x))(-5i + x) = 0
((-10i + -2x) + X(5i + x))(-5i + x) = 0
(-10i + -2x + (5i * X + x * X))(-5i + x) = 0
(-10i + -2x + (5iX + xX))(-5i + x) = 0

Reorder the terms:
(-10i + 5iX + -2x + xX)(-5i + x) = 0
(-10i + 5iX + -2x + xX)(-5i + x) = 0

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

Reorder the terms:
((-10ix + 50i2) + 5iX * (-5i + x) + -2x * (-5i + x) + xX(-5i + x)) = 0
((-10ix + 50i2) + 5iX * (-5i + x) + -2x * (-5i + x) + xX(-5i + x)) = 0
(-10ix + 50i2 + (-5i * 5iX + x * 5iX) + -2x * (-5i + x) + xX(-5i + x)) = 0

Reorder the terms:
(-10ix + 50i2 + (5ixX + -25i2X) + -2x * (-5i + x) + xX(-5i + x)) = 0
(-10ix + 50i2 + (5ixX + -25i2X) + -2x * (-5i + x) + xX(-5i + x)) = 0
(-10ix + 50i2 + 5ixX + -25i2X + (-5i * -2x + x * -2x) + xX(-5i + x)) = 0
(-10ix + 50i2 + 5ixX + -25i2X + (10ix + -2x2) + xX(-5i + x)) = 0
(-10ix + 50i2 + 5ixX + -25i2X + 10ix + -2x2 + (-5i * xX + x * xX)) = 0
(-10ix + 50i2 + 5ixX + -25i2X + 10ix + -2x2 + (-5ixX + x2X)) = 0

Reorder the terms:
(-10ix + 10ix + 5ixX + -5ixX + 50i2 + -25i2X + -2x2 + x2X) = 0

Combine like terms: -10ix + 10ix = 0
(0 + 5ixX + -5ixX + 50i2 + -25i2X + -2x2 + x2X) = 0
(5ixX + -5ixX + 50i2 + -25i2X + -2x2 + x2X) = 0

Combine like terms: 5ixX + -5ixX = 0
(0 + 50i2 + -25i2X + -2x2 + x2X) = 0
(50i2 + -25i2X + -2x2 + x2X) = 0

Solving
50i2 + -25i2X + -2x2 + x2X = 0

Solving for variable 'i'.

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

Add '2x2' to each side of the equation.
50i2 + -25i2X + -2x2 + 2x2 + x2X = 0 + 2x2

Combine like terms: -2x2 + 2x2 = 0
50i2 + -25i2X + 0 + x2X = 0 + 2x2
50i2 + -25i2X + x2X = 0 + 2x2
Remove the zero:
50i2 + -25i2X + x2X = 2x2

Add '-1x2X' to each side of the equation.
50i2 + -25i2X + x2X + -1x2X = 2x2 + -1x2X

Combine like terms: x2X + -1x2X = 0
50i2 + -25i2X + 0 = 2x2 + -1x2X
50i2 + -25i2X = 2x2 + -1x2X

Reorder the terms:
50i2 + -25i2X + -2x2 + x2X = 2x2 + -2x2 + -1x2X + x2X

Combine like terms: 2x2 + -2x2 = 0
50i2 + -25i2X + -2x2 + x2X = 0 + -1x2X + x2X
50i2 + -25i2X + -2x2 + x2X = -1x2X + x2X

Combine like terms: -1x2X + x2X = 0
50i2 + -25i2X + -2x2 + x2X = 0

The solution to this equation could not be determined.

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