x-25=x(x-9)

Solution for x-25=x(x-9) equation:

Simplifying
x + -25 = x(x + -9)

Reorder the terms:
-25 + x = x(x + -9)

Reorder the terms:
-25 + x = x(-9 + x)
-25 + x = (-9 * x + x * x)
-25 + x = (-9x + x2)

Solving
-25 + x = -9x + x2

Solving for variable 'x'.

Combine like terms: x + 9x = 10x
-25 + 10x + -1x2 = -9x + x2 + 9x + -1x2

Reorder the terms:
-25 + 10x + -1x2 = -9x + 9x + x2 + -1x2

Combine like terms: -9x + 9x = 0
-25 + 10x + -1x2 = 0 + x2 + -1x2
-25 + 10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-25 + 10x + -1x2 = 0

Factor a trinomial.
(-5 + x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {5, 5}