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

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

Simplifying
a + b2 + (c2 + -6) = 69

Reorder the terms:
a + b2 + (-6 + c2) = 69

Remove parenthesis around (-6 + c2)
a + b2 + -6 + c2 = 69

Reorder the terms:
-6 + a + b2 + c2 = 69

Solving
-6 + a + b2 + c2 = 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 + b2 + 6 + c2 = 69 + 6

Reorder the terms:
-6 + 6 + a + b2 + c2 = 69 + 6

Combine like terms: -6 + 6 = 0
0 + a + b2 + c2 = 69 + 6
a + b2 + c2 = 69 + 6

Combine like terms: 69 + 6 = 75
a + b2 + c2 = 75

Add '-1b2' to each side of the equation.
a + b2 + -1b2 + c2 = 75 + -1b2

Combine like terms: b2 + -1b2 = 0
a + 0 + c2 = 75 + -1b2
a + c2 = 75 + -1b2

Add '-1c2' to each side of the equation.
a + c2 + -1c2 = 75 + -1b2 + -1c2

Combine like terms: c2 + -1c2 = 0
a + 0 = 75 + -1b2 + -1c2
a = 75 + -1b2 + -1c2

Simplifying
a = 75 + -1b2 + -1c2