3v^2-2v^2+6=42

Solution for 3v^2-2v^2+6=42 equation:

Simplifying
3v2 + -2v2 + 6 = 42

Reorder the terms:
6 + 3v2 + -2v2 = 42

Combine like terms: 3v2 + -2v2 = 1v2
6 + 1v2 = 42

Solving
6 + 1v2 = 42

Solving for variable 'v'.

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

Add '-6' to each side of the equation.
6 + -6 + 1v2 = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 1v2 = 42 + -6
1v2 = 42 + -6

Combine like terms: 42 + -6 = 36
1v2 = 36

Divide each side by '1'.
v2 = 36

Simplifying
v2 = 36

Take the square root of each side:
v = {-6, 6}