x(x-1)=650

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

Simplifying
x(x + -1) = 650

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

Solving
-1x + x2 = 650

Solving for variable 'x'.

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

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

Factor a trinomial.
(-25 + -1x)(26 + -1x) = 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 + -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
Solution
x = {-25, 26}