x(x-36)=8140

Solution for x(x-36)=8140 equation:

Simplifying
x(x + -36) = 8140

Reorder the terms:
x(-36 + x) = 8140
(-36 * x + x * x) = 8140
(-36x + x2) = 8140

Solving
-36x + x2 = 8140

Solving for variable 'x'.

Reorder the terms:
-8140 + -36x + x2 = 8140 + -8140

Combine like terms: 8140 + -8140 = 0
-8140 + -36x + x2 = 0

Factor a trinomial.
(-74 + -1x)(110 + -1x) = 0

Subproblem 1
Set the factor '(-74 + -1x)' equal to zero and attempt to solve:

Simplifying
-74 + -1x = 0

Solving
-74 + -1x = 0

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

Add '74' to each side of the equation.
-74 + 74 + -1x = 0 + 74

Combine like terms: -74 + 74 = 0
0 + -1x = 0 + 74
-1x = 0 + 74

Combine like terms: 0 + 74 = 74
-1x = 74

Divide each side by '-1'.
x = -74

Simplifying
x = -74
Subproblem 2
Set the factor '(110 + -1x)' equal to zero and attempt to solve:

Simplifying
110 + -1x = 0

Solving
110 + -1x = 0

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

Add '-110' to each side of the equation.
110 + -110 + -1x = 0 + -110

Combine like terms: 110 + -110 = 0
0 + -1x = 0 + -110
-1x = 0 + -110

Combine like terms: 0 + -110 = -110
-1x = -110

Divide each side by '-1'.
x = 110

Simplifying
x = 110
Solution
x = {-74, 110}