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

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


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

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

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

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

Solving
-2x + 6x2 = 140

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(-70 + -1x + 3x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-4.666666667, 5}

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