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x=-0.000015x^2+150x-40000000
We move all terms to the left:
x-(-0.000015x^2+150x-40000000)=0
We get rid of parentheses
0.000015x^2-150x+x+40000000=0
We add all the numbers together, and all the variables
0.000015x^2-149x+40000000=0
a = 0.000015; b = -149; c = +40000000;
Δ = b2-4ac
Δ = -1492-4·0.000015·40000000
Δ = 19801
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-149)-\sqrt{19801}}{2*0.000015}=\frac{149-\sqrt{19801}}{3.1548454853771} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-149)+\sqrt{19801}}{2*0.000015}=\frac{149+\sqrt{19801}}{3.1548454853771} $
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