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(x+3)x=155
We move all terms to the left:
(x+3)x-(155)=0
We multiply parentheses
x^2+3x-155=0
a = 1; b = 3; c = -155;
Δ = b2-4ac
Δ = 32-4·1·(-155)
Δ = 629
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{-(3)-\sqrt{629}}{2*1}=\frac{-3-\sqrt{629}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{629}}{2*1}=\frac{-3+\sqrt{629}}{2} $
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