w(w-36)=5605

Solution for w(w-36)=5605 equation:

Simplifying
w(w + -36) = 5605

Reorder the terms:
w(-36 + w) = 5605
(-36 * w + w * w) = 5605
(-36w + w2) = 5605

Solving
-36w + w2 = 5605

Solving for variable 'w'.

Reorder the terms:
-5605 + -36w + w2 = 5605 + -5605

Combine like terms: 5605 + -5605 = 0
-5605 + -36w + w2 = 0

Factor a trinomial.
(-59 + -1w)(95 + -1w) = 0

Subproblem 1
Set the factor '(-59 + -1w)' equal to zero and attempt to solve:

Simplifying
-59 + -1w = 0

Solving
-59 + -1w = 0

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

Add '59' to each side of the equation.
-59 + 59 + -1w = 0 + 59

Combine like terms: -59 + 59 = 0
0 + -1w = 0 + 59
-1w = 0 + 59

Combine like terms: 0 + 59 = 59
-1w = 59

Divide each side by '-1'.
w = -59

Simplifying
w = -59
Subproblem 2
Set the factor '(95 + -1w)' equal to zero and attempt to solve:

Simplifying
95 + -1w = 0

Solving
95 + -1w = 0

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

Add '-95' to each side of the equation.
95 + -95 + -1w = 0 + -95

Combine like terms: 95 + -95 = 0
0 + -1w = 0 + -95
-1w = 0 + -95

Combine like terms: 0 + -95 = -95
-1w = -95

Divide each side by '-1'.
w = 95

Simplifying
w = 95
Solution
w = {-59, 95}