n2-10=-4n

Solution for n2-10=-4n equation:

n2-10=-4n

We move all terms to the left:

n2-10-(-4n)=0

We add all the numbers together, and all the variables

n^2-(-4n)-10=0

We get rid of parentheses

n^2+4n-10=0

a = 1; b = 4; c = -10;
Δ = b2-4ac
Δ = 42-4·1·(-10)
Δ = 56
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{56}=\sqrt{4*14}=\sqrt{4}*\sqrt{14}=2\sqrt{14}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{14}}{2*1}=\frac{-4-2\sqrt{14}}{2}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{14}}{2*1}=\frac{-4+2\sqrt{14}}{2}
$