6q^2+3=45

Solution for 6q^2+3=45 equation:

Simplifying
6q2 + 3 = 45

Reorder the terms:
3 + 6q2 = 45

Solving
3 + 6q2 = 45

Solving for variable 'q'.

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

Add '-3' to each side of the equation.
3 + -3 + 6q2 = 45 + -3

Combine like terms: 3 + -3 = 0
0 + 6q2 = 45 + -3
6q2 = 45 + -3

Combine like terms: 45 + -3 = 42
6q2 = 42

Divide each side by '6'.
q2 = 7

Simplifying
q2 = 7

Take the square root of each side:
q = {-2.645751311, 2.645751311}