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-5x(x+15)+2x=75
We move all terms to the left:
-5x(x+15)+2x-(75)=0
We add all the numbers together, and all the variables
2x-5x(x+15)-75=0
We multiply parentheses
-5x^2+2x-75x-75=0
We add all the numbers together, and all the variables
-5x^2-73x-75=0
a = -5; b = -73; c = -75;
Δ = b2-4ac
Δ = -732-4·(-5)·(-75)
Δ = 3829
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{-(-73)-\sqrt{3829}}{2*-5}=\frac{73-\sqrt{3829}}{-10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+\sqrt{3829}}{2*-5}=\frac{73+\sqrt{3829}}{-10} $
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