Question 1043586
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I have worked out the quadratic equation for 
x= -3q^2+150q, where q is quantity. The question asks what is the quantity is if x = 150? 
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They ask you to solve this quadratic equation

150 = {{{-3q^2 + 150q}}}

for q. It is the same as quadratic equation 

{{{3q^2 - 150q + 150}}} = {{{0}}}.

To solve it, divide both sides by 3. It is your first step. You will get an equivalent equation

{{{q^2 - 50q + 50}}} = {{{0}}}.

Now apply the quadratic formula. You will get

q = {{{(50 +- sqrt(50^2 - 4*50))/2}}} = {{{(50 +- sqrt(2300))/2}}} = {{{(50 +- 47.958)/2}}} = . . . 

Please complete these calculations on your own.
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