2w^2+3=90

Solution for 2w^2+3=90 equation:

Simplifying
2w2 + 3 = 90

Reorder the terms:
3 + 2w2 = 90

Solving
3 + 2w2 = 90

Solving for variable 'w'.

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

Add '-3' to each side of the equation.
3 + -3 + 2w2 = 90 + -3

Combine like terms: 3 + -3 = 0
0 + 2w2 = 90 + -3
2w2 = 90 + -3

Combine like terms: 90 + -3 = 87
2w2 = 87

Divide each side by '2'.
w2 = 43.5

Simplifying
w2 = 43.5

Take the square root of each side:
w = {-6.595452979, 6.595452979}