600=x^2+x

Solution for 600=x^2+x equation:

Simplifying
600 = x2 + x

Reorder the terms:
600 = x + x2

Solving
600 = x + x2

Solving for variable 'x'.

Reorder the terms:
600 + -1x + -1x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
600 + -1x + -1x2 = 0 + x2 + -1x2
600 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
600 + -1x + -1x2 = 0

Factor a trinomial.
(24 + -1x)(25 + x) = 0

Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
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 = {24, -25}