(3a^2+2a+8)+(5a^2-a)=8a^2+1a+8

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Solution for (3a^2+2a+8)+(5a^2-a)=8a^2+1a+8 equation:


Simplifying
(3a2 + 2a + 8) + (5a2 + -1a) = 8a2 + 1a + 8

Reorder the terms:
(8 + 2a + 3a2) + (5a2 + -1a) = 8a2 + 1a + 8

Remove parenthesis around (8 + 2a + 3a2)
8 + 2a + 3a2 + (5a2 + -1a) = 8a2 + 1a + 8

Reorder the terms:
8 + 2a + 3a2 + (-1a + 5a2) = 8a2 + 1a + 8

Remove parenthesis around (-1a + 5a2)
8 + 2a + 3a2 + -1a + 5a2 = 8a2 + 1a + 8

Reorder the terms:
8 + 2a + -1a + 3a2 + 5a2 = 8a2 + 1a + 8

Combine like terms: 2a + -1a = 1a
8 + 1a + 3a2 + 5a2 = 8a2 + 1a + 8

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

Reorder the terms:
8 + 1a + 8a2 = 8 + 1a + 8a2

Add '-8' to each side of the equation.
8 + 1a + -8 + 8a2 = 8 + 1a + -8 + 8a2

Reorder the terms:
8 + -8 + 1a + 8a2 = 8 + 1a + -8 + 8a2

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

Reorder the terms:
1a + 8a2 = 8 + -8 + 1a + 8a2

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

Add '-1a' to each side of the equation.
1a + -1a + 8a2 = 1a + -1a + 8a2

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

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

Add '-8a2' to each side of the equation.
8a2 + -8a2 = 8a2 + -8a2

Combine like terms: 8a2 + -8a2 = 0
0 = 8a2 + -8a2

Combine like terms: 8a2 + -8a2 = 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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