x(x^2-2000)=x(x^2-2)

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Solution for x(x^2-2000)=x(x^2-2) equation:


Simplifying
x(x2 + -2000) = x(x2 + -2)

Reorder the terms:
x(-2000 + x2) = x(x2 + -2)
(-2000 * x + x2 * x) = x(x2 + -2)
(-2000x + x3) = x(x2 + -2)

Reorder the terms:
-2000x + x3 = x(-2 + x2)
-2000x + x3 = (-2 * x + x2 * x)
-2000x + x3 = (-2x + x3)

Add '-1x3' to each side of the equation.
-2000x + x3 + -1x3 = -2x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-2000x + 0 = -2x + x3 + -1x3
-2000x = -2x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-2000x = -2x + 0
-2000x = -2x

Solving
-2000x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-2000x + 2x = -2x + 2x

Combine like terms: -2000x + 2x = -1998x
-1998x = -2x + 2x

Combine like terms: -2x + 2x = 0
-1998x = 0

Divide each side by '-1998'.
x = 0

Simplifying
x = 0

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