(2)(x)=x(x^2-3)

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Solution for (2)(x)=x(x^2-3) equation:


Simplifying
(2)(x) = x(x2 + -3)

Reorder the terms:
2x = x(-3 + x2)
2x = (-3 * x + x2 * x)
2x = (-3x + x3)

Solving
2x = -3x + x3

Solving for variable 'x'.

Combine like terms: 2x + 3x = 5x
5x + -1x3 = -3x + x3 + 3x + -1x3

Reorder the terms:
5x + -1x3 = -3x + 3x + x3 + -1x3

Combine like terms: -3x + 3x = 0
5x + -1x3 = 0 + x3 + -1x3
5x + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
5x + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + -1x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 0 + -5
-1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2 = -5

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}
Solution
x = {0, -2.236067978, 2.236067978}

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