140=(2l-6)*l

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

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

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

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

Solving
140 = -6l + 2l2

Solving for variable 'l'.

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(70 + 3l + -1l2) = 0

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

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

Simplifying
7 + l = 0

Solving
7 + l = 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 + l = 0 + -7

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

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

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