5w^2-9-4=0

Solution for 5w^2-9-4=0 equation:

Simplifying
5w2 + -9 + -4 = 0

Reorder the terms:
-9 + -4 + 5w2 = 0

Combine like terms: -9 + -4 = -13
-13 + 5w2 = 0

Solving
-13 + 5w2 = 0

Solving for variable 'w'.

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

Add '13' to each side of the equation.
-13 + 13 + 5w2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 5w2 = 0 + 13
5w2 = 0 + 13

Combine like terms: 0 + 13 = 13
5w2 = 13

Divide each side by '5'.
w2 = 2.6

Simplifying
w2 = 2.6

Take the square root of each side:
w = {-1.61245155, 1.61245155}