42q^2-45=0

Solution for 42q^2-45=0 equation:

Simplifying
42q2 + -45 = 0

Reorder the terms:
-45 + 42q2 = 0

Solving
-45 + 42q2 = 0

Solving for variable 'q'.

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

Add '45' to each side of the equation.
-45 + 45 + 42q2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 42q2 = 0 + 45
42q2 = 0 + 45

Combine like terms: 0 + 45 = 45
42q2 = 45

Divide each side by '42'.
q2 = 1.071428571

Simplifying
q2 = 1.071428571

Take the square root of each side:
q = {-1.035098339, 1.035098339}