650=x(x+1)

Solution for 650=x(x+1) equation:

Simplifying
650 = x(x + 1)

Reorder the terms:
650 = x(1 + x)
650 = (1 * x + x * x)
650 = (1x + x2)

Solving
650 = 1x + x2

Solving for variable 'x'.

Reorder the terms:
650 + -1x + -1x2 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
650 + -1x + -1x2 = 0 + x2 + -1x2
650 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
650 + -1x + -1x2 = 0

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

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

Simplifying
26 + x = 0

Solving
26 + x = 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 + x = 0 + -26

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

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

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