4w^2-19=5

Solution for 4w^2-19=5 equation:

Simplifying
4w2 + -19 = 5

Reorder the terms:
-19 + 4w2 = 5

Solving
-19 + 4w2 = 5

Solving for variable 'w'.

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

Add '19' to each side of the equation.
-19 + 19 + 4w2 = 5 + 19

Combine like terms: -19 + 19 = 0
0 + 4w2 = 5 + 19
4w2 = 5 + 19

Combine like terms: 5 + 19 = 24
4w2 = 24

Divide each side by '4'.
w2 = 6

Simplifying
w2 = 6

Take the square root of each side:
w = {-2.449489743, 2.449489743}