(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.
(-15 + -1x)(21 + -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 '(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
Solution
x = {-15, 21}