52w+w^2=

Solution for 52w+w^2= equation:

Simplifying
52w + w2 = 0

Solving
52w + w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(52 + w) = 0

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(52 + w)' equal to zero and attempt to solve:

Simplifying
52 + w = 0

Solving
52 + w = 0

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

Add '-52' to each side of the equation.
52 + -52 + w = 0 + -52

Combine like terms: 52 + -52 = 0
0 + w = 0 + -52
w = 0 + -52

Combine like terms: 0 + -52 = -52
w = -52

Simplifying
w = -52
Solution
w = {0, -52}