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(90x-0.5x^2)-(50x+15000)=15000

We move all terms to the left:

(90x-0.5x^2)-(50x+15000)-(15000)=0

We get rid of parentheses

-0.5x^2+90x-50x-15000-15000=0

We add all the numbers together, and all the variables

-0.5x^2+40x-30000=0

a = -0.5; b = 40; c = -30000;

Δ = b^{2}-4ac

Δ = 40^{2}-4·(-0.5)·(-30000)

Δ = -58400

Delta is less than zero, so there is no solution for the equation

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