a+b^2+(b^2-6)=69

Solution for a+b^2+(b^2-6)=69 equation:

Simplifying
a + b2 + (b2 + -6) = 69

Reorder the terms:
a + b2 + (-6 + b2) = 69

Remove parenthesis around (-6 + b2)
a + b2 + -6 + b2 = 69

Reorder the terms:
-6 + a + b2 + b2 = 69

Combine like terms: b2 + b2 = 2b2
-6 + a + 2b2 = 69

Solving
-6 + a + 2b2 = 69

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 + a + 6 + 2b2 = 69 + 6

Reorder the terms:
-6 + 6 + a + 2b2 = 69 + 6

Combine like terms: -6 + 6 = 0
0 + a + 2b2 = 69 + 6
a + 2b2 = 69 + 6

Combine like terms: 69 + 6 = 75
a + 2b2 = 75

Add '-2b2' to each side of the equation.
a + 2b2 + -2b2 = 75 + -2b2

Combine like terms: 2b2 + -2b2 = 0
a + 0 = 75 + -2b2
a = 75 + -2b2

Simplifying
a = 75 + -2b2