0=x^2-15x+50

Solution for 0=x^2-15x+50 equation:

Simplifying
0 = x2 + -15x + 50

Reorder the terms:
0 = 50 + -15x + x2

Solving
0 = 50 + -15x + x2

Solving for variable 'x'.

Combine like terms: 0 + -50 = -50
-50 + 15x + -1x2 = 50 + -15x + x2 + -50 + 15x + -1x2

Reorder the terms:
-50 + 15x + -1x2 = 50 + -50 + -15x + 15x + x2 + -1x2

Combine like terms: 50 + -50 = 0
-50 + 15x + -1x2 = 0 + -15x + 15x + x2 + -1x2
-50 + 15x + -1x2 = -15x + 15x + x2 + -1x2

Combine like terms: -15x + 15x = 0
-50 + 15x + -1x2 = 0 + x2 + -1x2
-50 + 15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-50 + 15x + -1x2 = 0

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

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

Simplifying
-10 + x = 0

Solving
-10 + x = 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 + x = 0 + 10

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

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

Simplifying
x = 10
Subproblem 2
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
Solution
x = {10, 5}