x^2-6x+x=50

Solution for x^2-6x+x=50 equation:

Simplifying
x2 + -6x + x = 50

Reorder the terms:
-6x + x + x2 = 50

Combine like terms: -6x + x = -5x
-5x + x2 = 50

Solving
-5x + x2 = 50

Solving for variable 'x'.

Reorder the terms:
-50 + -5x + x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + -5x + x2 = 0

Factor a trinomial.
(-5 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-5, 10}