X*(X+6)=315

Solution for X*(X+6)=315 equation:

Simplifying
X(X + 6) = 315

Reorder the terms:
X(6 + X) = 315
(6 * X + X * X) = 315
(6X + X2) = 315

Solving
6X + X2 = 315

Solving for variable 'X'.

Reorder the terms:
-315 + 6X + X2 = 315 + -315

Combine like terms: 315 + -315 = 0
-315 + 6X + X2 = 0

Factor a trinomial.
(-21 + -1X)(15 + -1X) = 0

Subproblem 1
Set the factor '(-21 + -1X)' equal to zero and attempt to solve:

Simplifying
-21 + -1X = 0

Solving
-21 + -1X = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1X = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1X = 0 + 21
-1X = 0 + 21

Combine like terms: 0 + 21 = 21
-1X = 21

Divide each side by '-1'.
X = -21

Simplifying
X = -21
Subproblem 2
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
Solution
X = {-21, 15}