(x)(x-3)(5)=270

Solution for (x)(x-3)(5)=270 equation:

Simplifying
(x)(x + -3)(5) = 270

Reorder the terms:
x(-3 + x)(5) = 270

Reorder the terms for easier multiplication:
5x(-3 + x) = 270
(-3 * 5x + x * 5x) = 270
(-15x + 5x2) = 270

Solving
-15x + 5x2 = 270

Solving for variable 'x'.

Reorder the terms:
-270 + -15x + 5x2 = 270 + -270

Combine like terms: 270 + -270 = 0
-270 + -15x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-54 + -3x + x2) = 0

Factor a trinomial.
5((-6 + -1x)(9 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-6, 9}