2a^3-2a^2=6a-8

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Solution for 2a^3-2a^2=6a-8 equation:


Simplifying
2a3 + -2a2 = 6a + -8

Reorder the terms:
-2a2 + 2a3 = 6a + -8

Reorder the terms:
-2a2 + 2a3 = -8 + 6a

Solving
-2a2 + 2a3 = -8 + 6a

Solving for variable 'a'.

Reorder the terms:
8 + -6a + -2a2 + 2a3 = -8 + 6a + 8 + -6a

Reorder the terms:
8 + -6a + -2a2 + 2a3 = -8 + 8 + 6a + -6a

Combine like terms: -8 + 8 = 0
8 + -6a + -2a2 + 2a3 = 0 + 6a + -6a
8 + -6a + -2a2 + 2a3 = 6a + -6a

Combine like terms: 6a + -6a = 0
8 + -6a + -2a2 + 2a3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -3a + -1a2 + a3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + -3a + -1a2 + a3)' equal to zero and attempt to solve: Simplifying 4 + -3a + -1a2 + a3 = 0 Solving 4 + -3a + -1a2 + a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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