9w^2+4=19

Solution for 9w^2+4=19 equation:

Simplifying
9w2 + 4 = 19

Reorder the terms:
4 + 9w2 = 19

Solving
4 + 9w2 = 19

Solving for variable 'w'.

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

Add '-4' to each side of the equation.
4 + -4 + 9w2 = 19 + -4

Combine like terms: 4 + -4 = 0
0 + 9w2 = 19 + -4
9w2 = 19 + -4

Combine like terms: 19 + -4 = 15
9w2 = 15

Divide each side by '9'.
w2 = 1.666666667

Simplifying
w2 = 1.666666667

Take the square root of each side:
w = {-1.290994449, 1.290994449}