x^2+x-50=600

Solution for x^2+x-50=600 equation:

Simplifying
x2 + x + -50 = 600

Reorder the terms:
-50 + x + x2 = 600

Solving
-50 + x + x2 = 600

Solving for variable 'x'.

Reorder the terms:
-50 + -600 + x + x2 = 600 + -600

Combine like terms: -50 + -600 = -650
-650 + x + x2 = 600 + -600

Combine like terms: 600 + -600 = 0
-650 + x + x2 = 0

Factor a trinomial.
(-26 + -1x)(25 + -1x) = 0

Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve:

Simplifying
-26 + -1x = 0

Solving
-26 + -1x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -1x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -1x = 0 + 26
-1x = 0 + 26

Combine like terms: 0 + 26 = 26
-1x = 26

Divide each side by '-1'.
x = -26

Simplifying
x = -26
Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 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 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25
Solution
x = {-26, 25}