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7x(x+5)=-18
We move all terms to the left:
7x(x+5)-(-18)=0
We add all the numbers together, and all the variables
7x(x+5)+18=0
We multiply parentheses
7x^2+35x+18=0
a = 7; b = 35; c = +18;
Δ = b2-4ac
Δ = 352-4·7·18
Δ = 721
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{-(35)-\sqrt{721}}{2*7}=\frac{-35-\sqrt{721}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+\sqrt{721}}{2*7}=\frac{-35+\sqrt{721}}{14} $
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