13x+195=13x(x+15)

Solution for 13x+195=13x(x+15) equation:

Simplifying
13x + 195 = 13x(x + 15)

Reorder the terms:
195 + 13x = 13x(x + 15)

Reorder the terms:
195 + 13x = 13x(15 + x)
195 + 13x = (15 * 13x + x * 13x)
195 + 13x = (195x + 13x2)

Solving
195 + 13x = 195x + 13x2

Solving for variable 'x'.

Combine like terms: 13x + -195x = -182x
195 + -182x + -13x2 = 195x + 13x2 + -195x + -13x2

Reorder the terms:
195 + -182x + -13x2 = 195x + -195x + 13x2 + -13x2

Combine like terms: 195x + -195x = 0
195 + -182x + -13x2 = 0 + 13x2 + -13x2
195 + -182x + -13x2 = 13x2 + -13x2

Combine like terms: 13x2 + -13x2 = 0
195 + -182x + -13x2 = 0

Factor out the Greatest Common Factor (GCF), '13'.
13(15 + -14x + -1x2) = 0

Factor a trinomial.
13((1 + -1x)(15 + x)) = 0

Ignore the factor 13.
Subproblem 1
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
Subproblem 2
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
Solution
x = {1, -15}