(x+2)*x=195

Solution for (x+2)*x=195 equation:

Simplifying
(x + 2) * x = 195

Reorder the terms:
(2 + x) * x = 195

Reorder the terms for easier multiplication:
x(2 + x) = 195
(2 * x + x * x) = 195
(2x + x2) = 195

Solving
2x + x2 = 195

Solving for variable 'x'.

Reorder the terms:
-195 + 2x + x2 = 195 + -195

Combine like terms: 195 + -195 = 0
-195 + 2x + x2 = 0

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

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

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 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 + -1x = 0 + 15

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

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

Divide each side by '-1'.
x = -15

Simplifying
x = -15
Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-15, 13}