(x-11)x=962

Solution for (x-11)x=962 equation:

Simplifying
(x + -11) * x = 962

Reorder the terms:
(-11 + x) * x = 962

Reorder the terms for easier multiplication:
x(-11 + x) = 962
(-11 * x + x * x) = 962
(-11x + x2) = 962

Solving
-11x + x2 = 962

Solving for variable 'x'.

Reorder the terms:
-962 + -11x + x2 = 962 + -962

Combine like terms: 962 + -962 = 0
-962 + -11x + x2 = 0

Factor a trinomial.
(-26 + -1x)(37 + -1x) = 0

Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26
Subproblem 2
Set the factor '(37 + -1x)' equal to zero and attempt to solve:

Simplifying
37 + -1x = 0

Solving
37 + -1x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -1x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -1x = 0 + -37
-1x = 0 + -37

Combine like terms: 0 + -37 = -37
-1x = -37

Divide each side by '-1'.
x = 37

Simplifying
x = 37
Solution
x = {-26, 37}