a^3-5a+6=a^2+3(a-1)

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Solution for a^3-5a+6=a^2+3(a-1) equation: 


Simplifying
a3 + -5a + 6 = a2 + 3(a + -1)

Reorder the terms:
6 + -5a + a3 = a2 + 3(a + -1)

Reorder the terms:
6 + -5a + a3 = a2 + 3(-1 + a)
6 + -5a + a3 = a2 + (-1 * 3 + a * 3)
6 + -5a + a3 = a2 + (-3 + 3a)

Reorder the terms:
6 + -5a + a3 = -3 + 3a + a2

Solving
6 + -5a + a3 = -3 + 3a + a2

Solving for variable 'a'.

Reorder the terms:
6 + 3 + -5a + -3a + -1a2 + a3 = -3 + 3a + a2 + 3 + -3a + -1a2

Combine like terms: 6 + 3 = 9
9 + -5a + -3a + -1a2 + a3 = -3 + 3a + a2 + 3 + -3a + -1a2

Combine like terms: -5a + -3a = -8a
9 + -8a + -1a2 + a3 = -3 + 3a + a2 + 3 + -3a + -1a2

Reorder the terms:
9 + -8a + -1a2 + a3 = -3 + 3 + 3a + -3a + a2 + -1a2

Combine like terms: -3 + 3 = 0
9 + -8a + -1a2 + a3 = 0 + 3a + -3a + a2 + -1a2
9 + -8a + -1a2 + a3 = 3a + -3a + a2 + -1a2

Combine like terms: 3a + -3a = 0
9 + -8a + -1a2 + a3 = 0 + a2 + -1a2
9 + -8a + -1a2 + a3 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
9 + -8a + -1a2 + a3 = 0

The solution to this equation could not be determined.

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