140=(3x-1)(2x)

Solution for 140=(3x-1)(2x) equation:

Simplifying
140 = (3x + -1)(2x)

Reorder the terms:
140 = (-1 + 3x)(2x)

Remove parenthesis around (2x)
140 = (-1 + 3x) * 2x

Reorder the terms for easier multiplication:
140 = 2x(-1 + 3x)
140 = (-1 * 2x + 3x * 2x)
140 = (-2x + 6x2)

Solving
140 = -2x + 6x2

Solving for variable 'x'.

Reorder the terms:
140 + 2x + -6x2 = -2x + 2x + 6x2 + -6x2

Combine like terms: -2x + 2x = 0
140 + 2x + -6x2 = 0 + 6x2 + -6x2
140 + 2x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
140 + 2x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(70 + x + -3x2) = 0

Factor a trinomial.
2((5 + -1x)(14 + 3x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(14 + 3x)' equal to zero and attempt to solve:

Simplifying
14 + 3x = 0

Solving
14 + 3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 0 + -14
3x = 0 + -14

Combine like terms: 0 + -14 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667
Solution
x = {5, -4.666666667}