a^2=(2-a^3)-a(2a-a^4)

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Solution for a^2=(2-a^3)-a(2a-a^4) equation:


Simplifying
a2 = (2 + -1a3) + -1a(2a + -1a4)

Remove parenthesis around (2 + -1a3)
a2 = 2 + -1a3 + -1a(2a + -1a4)
a2 = 2 + -1a3 + (2a * -1a + -1a4 * -1a)
a2 = 2 + -1a3 + (-2a2 + 1a5)

Reorder the terms:
a2 = 2 + -2a2 + -1a3 + 1a5

Solving
a2 = 2 + -2a2 + -1a3 + 1a5

Solving for variable 'a'.

Reorder the terms:
-2 + a2 + 2a2 + a3 + -1a5 = 2 + -2a2 + -1a3 + 1a5 + -2 + 2a2 + a3 + -1a5

Combine like terms: a2 + 2a2 = 3a2
-2 + 3a2 + a3 + -1a5 = 2 + -2a2 + -1a3 + 1a5 + -2 + 2a2 + a3 + -1a5

Reorder the terms:
-2 + 3a2 + a3 + -1a5 = 2 + -2 + -2a2 + 2a2 + -1a3 + a3 + 1a5 + -1a5

Combine like terms: 2 + -2 = 0
-2 + 3a2 + a3 + -1a5 = 0 + -2a2 + 2a2 + -1a3 + a3 + 1a5 + -1a5
-2 + 3a2 + a3 + -1a5 = -2a2 + 2a2 + -1a3 + a3 + 1a5 + -1a5

Combine like terms: -2a2 + 2a2 = 0
-2 + 3a2 + a3 + -1a5 = 0 + -1a3 + a3 + 1a5 + -1a5
-2 + 3a2 + a3 + -1a5 = -1a3 + a3 + 1a5 + -1a5

Combine like terms: -1a3 + a3 = 0
-2 + 3a2 + a3 + -1a5 = 0 + 1a5 + -1a5
-2 + 3a2 + a3 + -1a5 = 1a5 + -1a5

Combine like terms: 1a5 + -1a5 = 0
-2 + 3a2 + a3 + -1a5 = 0

The solution to this equation could not be determined.

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