w(w-32)=5220

Solution for w(w-32)=5220 equation:

Simplifying
w(w + -32) = 5220

Reorder the terms:
w(-32 + w) = 5220
(-32 * w + w * w) = 5220
(-32w + w2) = 5220

Solving
-32w + w2 = 5220

Solving for variable 'w'.

Reorder the terms:
-5220 + -32w + w2 = 5220 + -5220

Combine like terms: 5220 + -5220 = 0
-5220 + -32w + w2 = 0

Factor a trinomial.
(-58 + -1w)(90 + -1w) = 0

Subproblem 1
Set the factor '(-58 + -1w)' equal to zero and attempt to solve:

Simplifying
-58 + -1w = 0

Solving
-58 + -1w = 0

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

Add '58' to each side of the equation.
-58 + 58 + -1w = 0 + 58

Combine like terms: -58 + 58 = 0
0 + -1w = 0 + 58
-1w = 0 + 58

Combine like terms: 0 + 58 = 58
-1w = 58

Divide each side by '-1'.
w = -58

Simplifying
w = -58
Subproblem 2
Set the factor '(90 + -1w)' equal to zero and attempt to solve:

Simplifying
90 + -1w = 0

Solving
90 + -1w = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1w = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1w = 0 + -90
-1w = 0 + -90

Combine like terms: 0 + -90 = -90
-1w = -90

Divide each side by '-1'.
w = 90

Simplifying
w = 90
Solution
w = {-58, 90}