ab^2+5-a^2-3b-ab^2+3a^2+1=0

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Solution for ab^2+5-a^2-3b-ab^2+3a^2+1=0 equation:


Simplifying
ab2 + 5 + -1a2 + -3b + -1ab2 + 3a2 + 1 = 0

Reorder the terms:
5 + 1 + ab2 + -1ab2 + -1a2 + 3a2 + -3b = 0

Combine like terms: 5 + 1 = 6
6 + ab2 + -1ab2 + -1a2 + 3a2 + -3b = 0

Combine like terms: ab2 + -1ab2 = 0
6 + 0 + -1a2 + 3a2 + -3b = 0
6 + -1a2 + 3a2 + -3b = 0

Combine like terms: -1a2 + 3a2 = 2a2
6 + 2a2 + -3b = 0

Solving
6 + 2a2 + -3b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + 2a2 + -6 + -3b = 0 + -6

Reorder the terms:
6 + -6 + 2a2 + -3b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2a2 + -3b = 0 + -6
2a2 + -3b = 0 + -6

Combine like terms: 0 + -6 = -6
2a2 + -3b = -6

Add '3b' to each side of the equation.
2a2 + -3b + 3b = -6 + 3b

Combine like terms: -3b + 3b = 0
2a2 + 0 = -6 + 3b
2a2 = -6 + 3b

Divide each side by '2'.
a2 = -3 + 1.5b

Simplifying
a2 = -3 + 1.5b

Reorder the terms:
3 + a2 + -1.5b = -3 + 1.5b + 3 + -1.5b

Reorder the terms:
3 + a2 + -1.5b = -3 + 3 + 1.5b + -1.5b

Combine like terms: -3 + 3 = 0
3 + a2 + -1.5b = 0 + 1.5b + -1.5b
3 + a2 + -1.5b = 1.5b + -1.5b

Combine like terms: 1.5b + -1.5b = 0.0
3 + a2 + -1.5b = 0.0

The solution to this equation could not be determined.

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