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x(15+8+180+x)=13000
We move all terms to the left:
x(15+8+180+x)-(13000)=0
We add all the numbers together, and all the variables
x(x+203)-13000=0
We multiply parentheses
x^2+203x-13000=0
a = 1; b = 203; c = -13000;
Δ = b2-4ac
Δ = 2032-4·1·(-13000)
Δ = 93209
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{-(203)-\sqrt{93209}}{2*1}=\frac{-203-\sqrt{93209}}{2}x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(203)+\sqrt{93209}}{2*1}=\frac{-203+\sqrt{93209}}{2}
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