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5n-7(n+3)*2n=-25
We move all terms to the left:
5n-7(n+3)*2n-(-25)=0
We add all the numbers together, and all the variables
5n-7(n+3)*2n+25=0
We multiply parentheses
-14n^2+5n-42n+25=0
We add all the numbers together, and all the variables
-14n^2-37n+25=0
a = -14; b = -37; c = +25;
Δ = b2-4ac
Δ = -372-4·(-14)·25
Δ = 2769
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-\sqrt{2769}}{2*-14}=\frac{37-\sqrt{2769}}{-28} $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+\sqrt{2769}}{2*-14}=\frac{37+\sqrt{2769}}{-28} $
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