6ab+3b^2-8ab+5b^2-10=0

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Solution for 6ab+3b^2-8ab+5b^2-10=0 equation:


Simplifying
6ab + 3b2 + -8ab + 5b2 + -10 = 0

Reorder the terms:
-10 + 6ab + -8ab + 3b2 + 5b2 = 0

Combine like terms: 6ab + -8ab = -2ab
-10 + -2ab + 3b2 + 5b2 = 0

Combine like terms: 3b2 + 5b2 = 8b2
-10 + -2ab + 8b2 = 0

Solving
-10 + -2ab + 8b2 = 0

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + -2ab + 10 + 8b2 = 0 + 10

Reorder the terms:
-10 + 10 + -2ab + 8b2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -2ab + 8b2 = 0 + 10
-2ab + 8b2 = 0 + 10

Combine like terms: 0 + 10 = 10
-2ab + 8b2 = 10

Add '-8b2' to each side of the equation.
-2ab + 8b2 + -8b2 = 10 + -8b2

Combine like terms: 8b2 + -8b2 = 0
-2ab + 0 = 10 + -8b2
-2ab = 10 + -8b2

Divide each side by '-2b'.
a = -5b-1 + 4b

Simplifying
a = -5b-1 + 4b

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