50=x^2+23x

Solution for 50=x^2+23x equation:

Simplifying
50 = x2 + 23x

Reorder the terms:
50 = 23x + x2

Solving
50 = 23x + x2

Solving for variable 'x'.

Reorder the terms:
50 + -23x + -1x2 = 23x + -23x + x2 + -1x2

Combine like terms: 23x + -23x = 0
50 + -23x + -1x2 = 0 + x2 + -1x2
50 + -23x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
50 + -23x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(25 + x) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(25 + x)' equal to zero and attempt to solve:

Simplifying
25 + x = 0

Solving
25 + x = 0

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

Add '-25' to each side of the equation.
25 + -25 + x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + x = 0 + -25
x = 0 + -25

Combine like terms: 0 + -25 = -25
x = -25

Simplifying
x = -25
Solution
x = {2, -25}