16w^2-196w+528=0

Solution for 16w^2-196w+528=0 equation:

Simplifying
16w2 + -196w + 528 = 0

Reorder the terms:
528 + -196w + 16w2 = 0

Solving
528 + -196w + 16w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(132 + -49w + 4w2) = 0

Factor a trinomial.
4((4 + -1w)(33 + -4w)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Subproblem 2
Set the factor '(33 + -4w)' equal to zero and attempt to solve:

Simplifying
33 + -4w = 0

Solving
33 + -4w = 0

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

Add '-33' to each side of the equation.
33 + -33 + -4w = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -4w = 0 + -33
-4w = 0 + -33

Combine like terms: 0 + -33 = -33
-4w = -33

Divide each side by '-4'.
w = 8.25

Simplifying
w = 8.25
Solution
w = {4, 8.25}