l(3-l)2=80

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Solution for l(3-l)2=80 equation: 


Simplifying
l(3 + -1l) * 2 = 80

Reorder the terms for easier multiplication:
2l(3 + -1l) = 80
(3 * 2l + -1l * 2l) = 80
(6l + -2l2) = 80

Solving
6l + -2l2 = 80

Solving for variable 'l'.

Reorder the terms:
-80 + 6l + -2l2 = 80 + -80

Combine like terms: 80 + -80 = 0
-80 + 6l + -2l2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + 3l + -1l2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-40 + 3l + -1l2)' equal to zero and attempt to solve:

Simplifying
-40 + 3l + -1l2 = 0

Solving
-40 + 3l + -1l2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
40 + -3l + l2 = 0

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -3l + -40 + l2 = 0 + -40

Reorder the terms:
40 + -40 + -3l + l2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -3l + l2 = 0 + -40
-3l + l2 = 0 + -40

Combine like terms: 0 + -40 = -40
-3l + l2 = -40

The l term is -3l.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3l + 2.25 + l2 = -40 + 2.25

Reorder the terms:
2.25 + -3l + l2 = -40 + 2.25

Combine like terms: -40 + 2.25 = -37.75
2.25 + -3l + l2 = -37.75

Factor a perfect square on the left side:
(l + -1.5)(l + -1.5) = -37.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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