w^2-62+9=0

Solution for w^2-62+9=0 equation:

Simplifying
w2 + -62 + 9 = 0

Reorder the terms:
-62 + 9 + w2 = 0

Combine like terms: -62 + 9 = -53
-53 + w2 = 0

Solving
-53 + w2 = 0

Solving for variable 'w'.

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

Add '53' to each side of the equation.
-53 + 53 + w2 = 0 + 53

Combine like terms: -53 + 53 = 0
0 + w2 = 0 + 53
w2 = 0 + 53

Combine like terms: 0 + 53 = 53
w2 = 53

Simplifying
w2 = 53

Take the square root of each side:
w = {-7.280109889, 7.280109889}