(x-36)*x=5605

Solution for (x-36)*x=5605 equation:

Simplifying
(x + -36) * x = 5605

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

Reorder the terms for easier multiplication:
x(-36 + x) = 5605
(-36 * x + x * x) = 5605
(-36x + x2) = 5605

Solving
-36x + x2 = 5605

Solving for variable 'x'.

Reorder the terms:
-5605 + -36x + x2 = 5605 + -5605

Combine like terms: 5605 + -5605 = 0
-5605 + -36x + x2 = 0

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

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

Simplifying
-59 + -1x = 0

Solving
-59 + -1x = 0

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

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

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

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

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

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

Simplifying
95 + -1x = 0

Solving
95 + -1x = 0

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

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

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

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

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

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