w^2-14+13=0

Solution for w^2-14+13=0 equation:

Simplifying
w2 + -14 + 13 = 0

Reorder the terms:
-14 + 13 + w2 = 0

Combine like terms: -14 + 13 = -1
-1 + w2 = 0

Solving
-1 + w2 = 0

Solving for variable 'w'.

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

Add '1' to each side of the equation.
-1 + 1 + w2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + w2 = 0 + 1
w2 = 0 + 1

Combine like terms: 0 + 1 = 1
w2 = 1

Simplifying
w2 = 1

Take the square root of each side:
w = {-1, 1}