x(x-32)=228

Solution for x(x-32)=228 equation:

Simplifying
x(x + -32) = 228

Reorder the terms:
x(-32 + x) = 228
(-32 * x + x * x) = 228
(-32x + x2) = 228

Solving
-32x + x2 = 228

Solving for variable 'x'.

Reorder the terms:
-228 + -32x + x2 = 228 + -228

Combine like terms: 228 + -228 = 0
-228 + -32x + x2 = 0

Factor a trinomial.
(-6 + -1x)(38 + -1x) = 0

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(38 + -1x)' equal to zero and attempt to solve:

Simplifying
38 + -1x = 0

Solving
38 + -1x = 0

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

Add '-38' to each side of the equation.
38 + -38 + -1x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -1x = 0 + -38
-1x = 0 + -38

Combine like terms: 0 + -38 = -38
-1x = -38

Divide each side by '-1'.
x = 38

Simplifying
x = 38
Solution
x = {-6, 38}