-7n=-3(1/2)

Solution for -7n=-3(1/2) equation:

-7n=-3(1/2)

We move all terms to the left:

-7n-(-3(1/2))=0

We add all the numbers together, and all the variables

-7n-(-3(+1/2))=0

We multiply all the terms by the denominator


-7n*2))-(-3(+1=0

Wy multiply elements

-14n^2+1=0

a = -14; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-14)·1
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{-(0)-2\sqrt{14}}{2*-14}=\frac{0-2\sqrt{14}}{-28}
=-\frac{2\sqrt{14}}{-28}
=-\frac{\sqrt{14}}{-14}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{14}}{2*-14}=\frac{0+2\sqrt{14}}{-28}
=\frac{2\sqrt{14}}{-28}
=\frac{\sqrt{14}}{-14}
$