240=(10)(x)(x+5)

Solution for 240=(10)(x)(x+5) equation:

Simplifying
240 = (10)(x)(x + 5)

Reorder the terms:
240 = 10x(5 + x)
240 = (5 * 10x + x * 10x)
240 = (50x + 10x2)

Solving
240 = 50x + 10x2

Solving for variable 'x'.

Reorder the terms:
240 + -50x + -10x2 = 50x + -50x + 10x2 + -10x2

Combine like terms: 50x + -50x = 0
240 + -50x + -10x2 = 0 + 10x2 + -10x2
240 + -50x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
240 + -50x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(24 + -5x + -1x2) = 0

Factor a trinomial.
10((3 + -1x)(8 + x)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {3, -8}