7/4=14n*

Solution for 7/4=14n* equation:

7/4=14n*

We move all terms to the left:

7/4-(14n*)=0

We add all the numbers together, and all the variables

-(+14n*)+7/4=0

We get rid of parentheses

-14n*+7/4=0

We multiply all the terms by the denominator


-(14n*)*4+7=0

We add all the numbers together, and all the variables

-(+14n*)*4+7=0

We multiply parentheses

-56n^2+7=0

a = -56; b = 0; c = +7;
Δ = b2-4ac
Δ = 02-4·(-56)·7
Δ = 1568
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:

$\sqrt{\Delta}=\sqrt{1568}=\sqrt{784*2}=\sqrt{784}*\sqrt{2}=28\sqrt{2}$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{2}}{2*-56}=\frac{0-28\sqrt{2}}{-112}
=-\frac{28\sqrt{2}}{-112}
=-\frac{\sqrt{2}}{-4}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{2}}{2*-56}=\frac{0+28\sqrt{2}}{-112}
=\frac{28\sqrt{2}}{-112}
=\frac{\sqrt{2}}{-4}
$