11ab+3b^2-6ab+6b^2-13=

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Solution for 11ab+3b^2-6ab+6b^2-13= equation:


Simplifying
11ab + 3b2 + -6ab + 6b2 + -13 = 0

Reorder the terms:
-13 + 11ab + -6ab + 3b2 + 6b2 = 0

Combine like terms: 11ab + -6ab = 5ab
-13 + 5ab + 3b2 + 6b2 = 0

Combine like terms: 3b2 + 6b2 = 9b2
-13 + 5ab + 9b2 = 0

Solving
-13 + 5ab + 9b2 = 0

Solving for variable 'a'.

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

Add '13' to each side of the equation.
-13 + 5ab + 13 + 9b2 = 0 + 13

Reorder the terms:
-13 + 13 + 5ab + 9b2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 5ab + 9b2 = 0 + 13
5ab + 9b2 = 0 + 13

Combine like terms: 0 + 13 = 13
5ab + 9b2 = 13

Add '-9b2' to each side of the equation.
5ab + 9b2 + -9b2 = 13 + -9b2

Combine like terms: 9b2 + -9b2 = 0
5ab + 0 = 13 + -9b2
5ab = 13 + -9b2

Divide each side by '5b'.
a = 2.6b-1 + -1.8b

Simplifying
a = 2.6b-1 + -1.8b

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