2w^2-3-42=0

Solution for 2w^2-3-42=0 equation:

Simplifying
2w2 + -3 + -42 = 0

Reorder the terms:
-3 + -42 + 2w2 = 0

Combine like terms: -3 + -42 = -45
-45 + 2w2 = 0

Solving
-45 + 2w2 = 0

Solving for variable 'w'.

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

Add '45' to each side of the equation.
-45 + 45 + 2w2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 2w2 = 0 + 45
2w2 = 0 + 45

Combine like terms: 0 + 45 = 45
2w2 = 45

Divide each side by '2'.
w2 = 22.5

Simplifying
w2 = 22.5

Take the square root of each side:
w = {-4.74341649, 4.74341649}