(2l-6)l=140

Solution for (2l-6)l=140 equation:

Simplifying
(2l + -6) * l = 140

Reorder the terms:
(-6 + 2l) * l = 140

Reorder the terms for easier multiplication:
l(-6 + 2l) = 140
(-6 * l + 2l * l) = 140
(-6l + 2l2) = 140

Solving
-6l + 2l2 = 140

Solving for variable 'l'.

Reorder the terms:
-140 + -6l + 2l2 = 140 + -140

Combine like terms: 140 + -140 = 0
-140 + -6l + 2l2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-70 + -3l + l2) = 0

Factor a trinomial.
2((-7 + -1l)(10 + -1l)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-7 + -1l)' equal to zero and attempt to solve:

Simplifying
-7 + -1l = 0

Solving
-7 + -1l = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1l = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1l = 0 + 7
-1l = 0 + 7

Combine like terms: 0 + 7 = 7
-1l = 7

Divide each side by '-1'.
l = -7

Simplifying
l = -7
Subproblem 2
Set the factor '(10 + -1l)' equal to zero and attempt to solve:

Simplifying
10 + -1l = 0

Solving
10 + -1l = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1l = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1l = 0 + -10
-1l = 0 + -10

Combine like terms: 0 + -10 = -10
-1l = -10

Divide each side by '-1'.
l = 10

Simplifying
l = 10
Solution
l = {-7, 10}