240=(2x)(3x-1)(4)

Solution for 240=(2x)(3x-1)(4) equation:

Simplifying
240 = (2x)(3x + -1)(4)

Remove parenthesis around (2x)
240 = 2x(3x + -1)(4)

Reorder the terms:
240 = 2x(-1 + 3x)(4)

Reorder the terms for easier multiplication:
240 = 2 * 4x(-1 + 3x)

Multiply 2 * 4
240 = 8x(-1 + 3x)
240 = (-1 * 8x + 3x * 8x)
240 = (-8x + 24x2)

Solving
240 = -8x + 24x2

Solving for variable 'x'.

Reorder the terms:
240 + 8x + -24x2 = -8x + 8x + 24x2 + -24x2

Combine like terms: -8x + 8x = 0
240 + 8x + -24x2 = 0 + 24x2 + -24x2
240 + 8x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
240 + 8x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(30 + x + -3x2) = 0

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

Ignore the factor 8.
Subproblem 1
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {3.333333333, -3}