48=(.75l)(l)

Solution for 48=(.75l)(l) equation:

Simplifying
48 = (0.75l)(l)

Remove parenthesis around (0.75l)
48 = 0.75l(l)

Multiply l * l
48 = 0.75l2

Solving
48 = 0.75l2

Solving for variable 'l'.

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

Add '-0.75l2' to each side of the equation.
48 + -0.75l2 = 0.75l2 + -0.75l2

Combine like terms: 0.75l2 + -0.75l2 = 0.00
48 + -0.75l2 = 0.00

Add '-48' to each side of the equation.
48 + -48 + -0.75l2 = 0.00 + -48

Combine like terms: 48 + -48 = 0
0 + -0.75l2 = 0.00 + -48
-0.75l2 = 0.00 + -48

Combine like terms: 0.00 + -48 = -48
-0.75l2 = -48

Divide each side by '-0.75'.
l2 = 64

Simplifying
l2 = 64

Take the square root of each side:
l = {-8, 8}