9q^2-35=14

Solution for 9q^2-35=14 equation:

Simplifying
9q2 + -35 = 14

Reorder the terms:
-35 + 9q2 = 14

Solving
-35 + 9q2 = 14

Solving for variable 'q'.

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

Add '35' to each side of the equation.
-35 + 35 + 9q2 = 14 + 35

Combine like terms: -35 + 35 = 0
0 + 9q2 = 14 + 35
9q2 = 14 + 35

Combine like terms: 14 + 35 = 49
9q2 = 49

Divide each side by '9'.
q2 = 5.444444444

Simplifying
q2 = 5.444444444

Take the square root of each side:
q = {-2.333333333, 2.333333333}