l(x)=(x-20)x(-0.02x+40)

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Solution for l(x)=(x-20)x(-0.02x+40) equation: 


Simplifying
l(x) = (x + -20) * x(-0.02x + 40)

Multiply l * x
lx = (x + -20) * x(-0.02x + 40)

Reorder the terms:
lx = (-20 + x) * x(-0.02x + 40)

Reorder the terms:
lx = (-20 + x) * x(40 + -0.02x)

Reorder the terms for easier multiplication:
lx = x(-20 + x)(40 + -0.02x)

Multiply (-20 + x) * (40 + -0.02x)
lx = x(-20(40 + -0.02x) + x(40 + -0.02x))
lx = x((40 * -20 + -0.02x * -20) + x(40 + -0.02x))
lx = x((-800 + 0.4x) + x(40 + -0.02x))
lx = x(-800 + 0.4x + (40 * x + -0.02x * x))
lx = x(-800 + 0.4x + (40x + -0.02x2))

Combine like terms: 0.4x + 40x = 40.4x
lx = x(-800 + 40.4x + -0.02x2)
lx = (-800 * x + 40.4x * x + -0.02x2 * x)
lx = (-800x + 40.4x2 + -0.02x3)

Solving
lx = -800x + 40.4x2 + -0.02x3

Solving for variable 'l'.

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

Divide each side by 'x'.
l = -800 + 40.4x + -0.02x2

Simplifying
l = -800 + 40.4x + -0.02x2

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