-94=-n(5n+7)

Solution for -94=-n(5n+7) equation:

-94=-n(5n+7)

We move all terms to the left:

-94-(-n(5n+7))=0


We calculate terms in parentheses: -(-n(5n+7)), so:

-n(5n+7)

We multiply parentheses

-5n^2-7n

Back to the equation:

-(-5n^2-7n)


We get rid of parentheses

5n^2+7n-94=0

a = 5; b = 7; c = -94;
Δ = b2-4ac
Δ = 72-4·5·(-94)
Δ = 1929
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{-(7)-\sqrt{1929}}{2*5}=\frac{-7-\sqrt{1929}}{10}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{1929}}{2*5}=\frac{-7+\sqrt{1929}}{10}
$