4w^2+3=17

Solution for 4w^2+3=17 equation:

Simplifying
4w2 + 3 = 17

Reorder the terms:
3 + 4w2 = 17

Solving
3 + 4w2 = 17

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 + 4w2 = 17 + -3

Combine like terms: 3 + -3 = 0
0 + 4w2 = 17 + -3
4w2 = 17 + -3

Combine like terms: 17 + -3 = 14
4w2 = 14

Divide each side by '4'.
w2 = 3.5

Simplifying
w2 = 3.5

Take the square root of each side:
w = {-1.870828693, 1.870828693}