x(4-x^2)=(-x^2+4)x

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Solution for x(4-x^2)=(-x^2+4)x equation:


Simplifying
x(4 + -1x2) = (-1x2 + 4) * x
(4 * x + -1x2 * x) = (-1x2 + 4) * x
(4x + -1x3) = (-1x2 + 4) * x

Reorder the terms:
4x + -1x3 = (4 + -1x2) * x

Reorder the terms for easier multiplication:
4x + -1x3 = x(4 + -1x2)
4x + -1x3 = (4 * x + -1x2 * x)
4x + -1x3 = (4x + -1x3)

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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