50=x^2+13x+36

Solution for 50=x^2+13x+36 equation:

Simplifying
50 = x2 + 13x + 36

Reorder the terms:
50 = 36 + 13x + x2

Solving
50 = 36 + 13x + x2

Solving for variable 'x'.

Combine like terms: 50 + -36 = 14
14 + -13x + -1x2 = 36 + 13x + x2 + -36 + -13x + -1x2

Reorder the terms:
14 + -13x + -1x2 = 36 + -36 + 13x + -13x + x2 + -1x2

Combine like terms: 36 + -36 = 0
14 + -13x + -1x2 = 0 + 13x + -13x + x2 + -1x2
14 + -13x + -1x2 = 13x + -13x + x2 + -1x2

Combine like terms: 13x + -13x = 0
14 + -13x + -1x2 = 0 + x2 + -1x2
14 + -13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14 + -13x + -1x2 = 0

Factor a trinomial.
(1 + -1x)(14 + x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {1, -14}