42w^2-9=0

Solution for 42w^2-9=0 equation:

Simplifying
42w2 + -9 = 0

Reorder the terms:
-9 + 42w2 = 0

Solving
-9 + 42w2 = 0

Solving for variable 'w'.

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

Add '9' to each side of the equation.
-9 + 9 + 42w2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 42w2 = 0 + 9
42w2 = 0 + 9

Combine like terms: 0 + 9 = 9
42w2 = 9

Divide each side by '42'.
w2 = 0.2142857143

Simplifying
w2 = 0.2142857143

Take the square root of each side:
w = {-0.46291005, 0.46291005}