60=1/2(5+7)*h

Solution for 60=1/2(5+7)*h equation:

60=1/2(5+7)*h

We move all terms to the left:

60-(1/2(5+7)*h)=0


Domain of the equation: 2(5+7)*h)!=0

h∈R


We add all the numbers together, and all the variables

-(1/212*h)+60=0

We get rid of parentheses

-1/212*h+60=0

We multiply all the terms by the denominator


60*212*h-1=0

Wy multiply elements

12720h*h-1=0

Wy multiply elements

12720h^2-1=0

a = 12720; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·12720·(-1)
Δ = 50880
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{50880}=\sqrt{64*795}=\sqrt{64}*\sqrt{795}=8\sqrt{795}$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{795}}{2*12720}=\frac{0-8\sqrt{795}}{25440}
=-\frac{8\sqrt{795}}{25440}
=-\frac{\sqrt{795}}{3180}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{795}}{2*12720}=\frac{0+8\sqrt{795}}{25440}
=\frac{8\sqrt{795}}{25440}
=\frac{\sqrt{795}}{3180}
$