a^2+8a^2-6a-48=a^2(a+8)+6(a+8)

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Solution for a^2+8a^2-6a-48=a^2(a+8)+6(a+8) equation: 


Simplifying
a2 + 8a2 + -6a + -48 = a2(a + 8) + 6(a + 8)

Reorder the terms:
-48 + -6a + a2 + 8a2 = a2(a + 8) + 6(a + 8)

Combine like terms: a2 + 8a2 = 9a2
-48 + -6a + 9a2 = a2(a + 8) + 6(a + 8)

Reorder the terms:
-48 + -6a + 9a2 = a2(8 + a) + 6(a + 8)
-48 + -6a + 9a2 = (8 * a2 + a * a2) + 6(a + 8)
-48 + -6a + 9a2 = (8a2 + a3) + 6(a + 8)

Reorder the terms:
-48 + -6a + 9a2 = 8a2 + a3 + 6(8 + a)
-48 + -6a + 9a2 = 8a2 + a3 + (8 * 6 + a * 6)
-48 + -6a + 9a2 = 8a2 + a3 + (48 + 6a)

Reorder the terms:
-48 + -6a + 9a2 = 48 + 6a + 8a2 + a3

Solving
-48 + -6a + 9a2 = 48 + 6a + 8a2 + a3

Solving for variable 'a'.

Reorder the terms:
-48 + -48 + -6a + -6a + 9a2 + -8a2 + -1a3 = 48 + 6a + 8a2 + a3 + -48 + -6a + -8a2 + -1a3

Combine like terms: -48 + -48 = -96
-96 + -6a + -6a + 9a2 + -8a2 + -1a3 = 48 + 6a + 8a2 + a3 + -48 + -6a + -8a2 + -1a3

Combine like terms: -6a + -6a = -12a
-96 + -12a + 9a2 + -8a2 + -1a3 = 48 + 6a + 8a2 + a3 + -48 + -6a + -8a2 + -1a3

Combine like terms: 9a2 + -8a2 = 1a2
-96 + -12a + 1a2 + -1a3 = 48 + 6a + 8a2 + a3 + -48 + -6a + -8a2 + -1a3

Reorder the terms:
-96 + -12a + 1a2 + -1a3 = 48 + -48 + 6a + -6a + 8a2 + -8a2 + a3 + -1a3

Combine like terms: 48 + -48 = 0
-96 + -12a + 1a2 + -1a3 = 0 + 6a + -6a + 8a2 + -8a2 + a3 + -1a3
-96 + -12a + 1a2 + -1a3 = 6a + -6a + 8a2 + -8a2 + a3 + -1a3

Combine like terms: 6a + -6a = 0
-96 + -12a + 1a2 + -1a3 = 0 + 8a2 + -8a2 + a3 + -1a3
-96 + -12a + 1a2 + -1a3 = 8a2 + -8a2 + a3 + -1a3

Combine like terms: 8a2 + -8a2 = 0
-96 + -12a + 1a2 + -1a3 = 0 + a3 + -1a3
-96 + -12a + 1a2 + -1a3 = a3 + -1a3

Combine like terms: a3 + -1a3 = 0
-96 + -12a + 1a2 + -1a3 = 0

The solution to this equation could not be determined.

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