324=x*(x+15)

Solution for 324=x*(x+15) equation:

Simplifying
324 = x(x + 15)

Reorder the terms:
324 = x(15 + x)
324 = (15 * x + x * x)
324 = (15x + x2)

Solving
324 = 15x + x2

Solving for variable 'x'.

Reorder the terms:
324 + -15x + -1x2 = 15x + -15x + x2 + -1x2

Combine like terms: 15x + -15x = 0
324 + -15x + -1x2 = 0 + x2 + -1x2
324 + -15x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
324 + -15x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(27 + x) = 0

Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Subproblem 2
Set the factor '(27 + x)' equal to zero and attempt to solve:

Simplifying
27 + x = 0

Solving
27 + x = 0

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

Add '-27' to each side of the equation.
27 + -27 + x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + x = 0 + -27
x = 0 + -27

Combine like terms: 0 + -27 = -27
x = -27

Simplifying
x = -27
Solution
x = {12, -27}