(x-1)(X-2)(x-3i)(x+3i)=0

Simple and best practice solution for (x-1)(X-2)(x-3i)(x+3i)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Solution for (x-1)(X-2)(x-3i)(x+3i)=0 equation:

Simplifying
(x + -1)(X + -2)(x + -3i)(x + 3i) = 0

Reorder the terms:
(-1 + x)(X + -2)(x + -3i)(x + 3i) = 0

Reorder the terms:
(-1 + x)(-2 + X)(x + -3i)(x + 3i) = 0

Reorder the terms:
(-1 + x)(-2 + X)(-3i + x)(x + 3i) = 0

Reorder the terms:
(-1 + x)(-2 + X)(-3i + x)(3i + x) = 0

Multiply (-1 + x) * (-2 + X)
(-1(-2 + X) + x(-2 + X))(-3i + x)(3i + x) = 0
((-2 * -1 + X * -1) + x(-2 + X))(-3i + x)(3i + x) = 0
((2 + -1X) + x(-2 + X))(-3i + x)(3i + x) = 0
(2 + -1X + (-2 * x + X * x))(-3i + x)(3i + x) = 0
(2 + -1X + (-2x + xX))(-3i + x)(3i + x) = 0
(2 + -1X + -2x + xX)(-3i + x)(3i + x) = 0

Multiply (2 + -1X + -2x + xX) * (-3i + x)
(2(-3i + x) + -1X * (-3i + x) + -2x * (-3i + x) + xX(-3i + x))(3i + x) = 0
((-3i * 2 + x * 2) + -1X * (-3i + x) + -2x * (-3i + x) + xX(-3i + x))(3i + x) = 0
((-6i + 2x) + -1X * (-3i + x) + -2x * (-3i + x) + xX(-3i + x))(3i + x) = 0
(-6i + 2x + (-3i * -1X + x * -1X) + -2x * (-3i + x) + xX(-3i + x))(3i + x) = 0
(-6i + 2x + (3iX + -1xX) + -2x * (-3i + x) + xX(-3i + x))(3i + x) = 0
(-6i + 2x + 3iX + -1xX + (-3i * -2x + x * -2x) + xX(-3i + x))(3i + x) = 0
(-6i + 2x + 3iX + -1xX + (6ix + -2x²) + xX(-3i + x))(3i + x) = 0
(-6i + 2x + 3iX + -1xX + 6ix + -2x² + (-3i * xX + x * xX))(3i + x) = 0
(-6i + 2x + 3iX + -1xX + 6ix + -2x² + (-3ixX + x²X))(3i + x) = 0

Reorder the terms:
(-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x² + x²X)(3i + x) = 0
(-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x² + x²X)(3i + x) = 0

Multiply (-6i + 3iX + 6ix + -3ixX + 2x + -1xX + -2x² + x²X) * (3i + x)
(-6i * (3i + x) + 3iX * (3i + x) + 6ix * (3i + x) + -3ixX * (3i + x) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
((3i * -6i + x * -6i) + 3iX * (3i + x) + 6ix * (3i + x) + -3ixX * (3i + x) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0

Reorder the terms:
((-6ix + -18i²) + 3iX * (3i + x) + 6ix * (3i + x) + -3ixX * (3i + x) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
((-6ix + -18i²) + 3iX * (3i + x) + 6ix * (3i + x) + -3ixX * (3i + x) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + (3i * 3iX + x * 3iX) + 6ix * (3i + x) + -3ixX * (3i + x) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0

Reorder the terms:
(-6ix + -18i² + (3ixX + 9i²X) + 6ix * (3i + x) + -3ixX * (3i + x) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + (3ixX + 9i²X) + 6ix * (3i + x) + -3ixX * (3i + x) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + (3i * 6ix + x * 6ix) + -3ixX * (3i + x) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0

Reorder the terms:
(-6ix + -18i² + 3ixX + 9i²X + (6ix² + 18i²x) + -3ixX * (3i + x) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + (6ix² + 18i²x) + -3ixX * (3i + x) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + (3i * -3ixX + x * -3ixX) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0

Reorder the terms:
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + (-3ix²X + -9i²xX) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + (-3ix²X + -9i²xX) + 2x * (3i + x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + -3ix²X + -9i²xX + (3i * 2x + x * 2x) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + -3ix²X + -9i²xX + (6ix + 2x²) + -1xX * (3i + x) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + -3ix²X + -9i²xX + 6ix + 2x² + (3i * -1xX + x * -1xX) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + -3ix²X + -9i²xX + 6ix + 2x² + (-3ixX + -1x²X) + -2x² * (3i + x) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + -3ix²X + -9i²xX + 6ix + 2x² + -3ixX + -1x²X + (3i * -2x² + x * -2x²) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + -3ix²X + -9i²xX + 6ix + 2x² + -3ixX + -1x²X + (-6ix² + -2x³) + x²X(3i + x)) = 0
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + -3ix²X + -9i²xX + 6ix + 2x² + -3ixX + -1x²X + -6ix² + -2x³ + (3i * x²X + x * x²X)) = 0
(-6ix + -18i² + 3ixX + 9i²X + 6ix² + 18i²x + -3ix²X + -9i²xX + 6ix + 2x² + -3ixX + -1x²X + -6ix² + -2x³ + (3ix²X + x³X)) = 0

Reorder the terms:
(-6ix + 6ix + 3ixX + -3ixX + 6ix² + -6ix² + -3ix²X + 3ix²X + -18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X) = 0

Combine like terms: -6ix + 6ix = 0
(0 + 3ixX + -3ixX + 6ix² + -6ix² + -3ix²X + 3ix²X + -18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X) = 0
(3ixX + -3ixX + 6ix² + -6ix² + -3ix²X + 3ix²X + -18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X) = 0

Combine like terms: 3ixX + -3ixX = 0
(0 + 6ix² + -6ix² + -3ix²X + 3ix²X + -18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X) = 0
(6ix² + -6ix² + -3ix²X + 3ix²X + -18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X) = 0

Combine like terms: 6ix² + -6ix² = 0
(0 + -3ix²X + 3ix²X + -18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X) = 0
(-3ix²X + 3ix²X + -18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X) = 0

Combine like terms: -3ix²X + 3ix²X = 0
(0 + -18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X) = 0
(-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X) = 0

Solving
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X = 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.
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + -2x² + x³X = 0 + -2x²

Reorder the terms:
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -2x² + -1x²X + -2x³ + x³X = 0 + -2x²

Combine like terms: 2x² + -2x² = 0
-18i² + 9i²X + 18i²x + -9i²xX + 0 + -1x²X + -2x³ + x³X = 0 + -2x²
-18i² + 9i²X + 18i²x + -9i²xX + -1x²X + -2x³ + x³X = 0 + -2x²
Remove the zero:
-18i² + 9i²X + 18i²x + -9i²xX + -1x²X + -2x³ + x³X = -2x²

Add 'x²X' to each side of the equation.
-18i² + 9i²X + 18i²x + -9i²xX + -1x²X + -2x³ + x²X + x³X = -2x² + x²X

Reorder the terms:
-18i² + 9i²X + 18i²x + -9i²xX + -1x²X + x²X + -2x³ + x³X = -2x² + x²X

Combine like terms: -1x²X + x²X = 0
-18i² + 9i²X + 18i²x + -9i²xX + 0 + -2x³ + x³X = -2x² + x²X
-18i² + 9i²X + 18i²x + -9i²xX + -2x³ + x³X = -2x² + x²X

Add '2x³' to each side of the equation.
-18i² + 9i²X + 18i²x + -9i²xX + -2x³ + 2x³ + x³X = -2x² + x²X + 2x³

Combine like terms: -2x³ + 2x³ = 0
-18i² + 9i²X + 18i²x + -9i²xX + 0 + x³X = -2x² + x²X + 2x³
-18i² + 9i²X + 18i²x + -9i²xX + x³X = -2x² + x²X + 2x³

Add '-1x³X' to each side of the equation.
-18i² + 9i²X + 18i²x + -9i²xX + x³X + -1x³X = -2x² + x²X + 2x³ + -1x³X

Combine like terms: x³X + -1x³X = 0
-18i² + 9i²X + 18i²x + -9i²xX + 0 = -2x² + x²X + 2x³ + -1x³X
-18i² + 9i²X + 18i²x + -9i²xX = -2x² + x²X + 2x³ + -1x³X

Reorder the terms:
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X = -2x² + 2x² + x²X + -1x²X + 2x³ + -2x³ + -1x³X + x³X

Combine like terms: -2x² + 2x² = 0
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X = 0 + x²X + -1x²X + 2x³ + -2x³ + -1x³X + x³X
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X = x²X + -1x²X + 2x³ + -2x³ + -1x³X + x³X

Combine like terms: x²X + -1x²X = 0
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X = 0 + 2x³ + -2x³ + -1x³X + x³X
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X = 2x³ + -2x³ + -1x³X + x³X

Combine like terms: 2x³ + -2x³ = 0
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X = 0 + -1x³X + x³X
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X = -1x³X + x³X

Combine like terms: -1x³X + x³X = 0
-18i² + 9i²X + 18i²x + -9i²xX + 2x² + -1x²X + -2x³ + x³X = 0

The solution to this equation could not be determined.

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(x-1)(X-2)(x-3i)(x+3i)=0

Simple and best practice solution for (x-1)(X-2)(x-3i)(x+3i)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (x-1)(X-2)(x-3i)(x+3i)=0 equation:

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