100w^2-289=0

Solution for 100w^2-289=0 equation:

Simplifying
100w2 + -289 = 0

Reorder the terms:
-289 + 100w2 = 0

Solving
-289 + 100w2 = 0

Solving for variable 'w'.

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

Add '289' to each side of the equation.
-289 + 289 + 100w2 = 0 + 289

Combine like terms: -289 + 289 = 0
0 + 100w2 = 0 + 289
100w2 = 0 + 289

Combine like terms: 0 + 289 = 289
100w2 = 289

Divide each side by '100'.
w2 = 2.89

Simplifying
w2 = 2.89

Take the square root of each side:
w = {-1.7, 1.7}