176=(2L-6)L

Solution for 176=(2L-6)L equation:

Simplifying
176 = (2L + -6) * L

Reorder the terms:
176 = (-6 + 2L) * L

Reorder the terms for easier multiplication:
176 = L(-6 + 2L)
176 = (-6 * L + 2L * L)
176 = (-6L + 2L2)

Solving
176 = -6L + 2L2

Solving for variable 'L'.

Reorder the terms:
176 + 6L + -2L2 = -6L + 6L + 2L2 + -2L2

Combine like terms: -6L + 6L = 0
176 + 6L + -2L2 = 0 + 2L2 + -2L2
176 + 6L + -2L2 = 2L2 + -2L2

Combine like terms: 2L2 + -2L2 = 0
176 + 6L + -2L2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(88 + 3L + -1L2) = 0

Factor a trinomial.
2((11 + -1L)(8 + L)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(11 + -1L)' equal to zero and attempt to solve:

Simplifying
11 + -1L = 0

Solving
11 + -1L = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1L = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1L = 0 + -11
-1L = 0 + -11

Combine like terms: 0 + -11 = -11
-1L = -11

Divide each side by '-1'.
L = 11

Simplifying
L = 11
Subproblem 2
Set the factor '(8 + L)' equal to zero and attempt to solve:

Simplifying
8 + L = 0

Solving
8 + L = 0

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

Add '-8' to each side of the equation.
8 + -8 + L = 0 + -8

Combine like terms: 8 + -8 = 0
0 + L = 0 + -8
L = 0 + -8

Combine like terms: 0 + -8 = -8
L = -8

Simplifying
L = -8
Solution
L = {11, -8}