[x-15]=x^2-15x

Solution for [x-15]=x^2-15x equation:

Simplifying
[x + -15] = x2 + -15x

Reorder the terms:
[-15 + x] = x2 + -15x

Remove brackets around [-15 + x]
-15 + x = x2 + -15x

Reorder the terms:
-15 + x = -15x + x2

Solving
-15 + x = -15x + x2

Solving for variable 'x'.

Combine like terms: x + 15x = 16x
-15 + 16x + -1x2 = -15x + x2 + 15x + -1x2

Reorder the terms:
-15 + 16x + -1x2 = -15x + 15x + x2 + -1x2

Combine like terms: -15x + 15x = 0
-15 + 16x + -1x2 = 0 + x2 + -1x2
-15 + 16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + 16x + -1x2 = 0

Factor a trinomial.
(-15 + x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 0

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

Add '15' to each side of the equation.
-15 + 15 + x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x = 0 + 15
x = 0 + 15

Combine like terms: 0 + 15 = 15
x = 15

Simplifying
x = 15
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {15, 1}