-h+3(5h-7)2h+5+5h=0

Solution for -h+3(5h-7)2h+5+5h=0 equation:

-h+3(5h-7)2h+5+5h=0

We add all the numbers together, and all the variables

4h+3(5h-7)2h+5=0

We multiply parentheses

30h^2+4h-42h+5=0

We add all the numbers together, and all the variables

30h^2-38h+5=0

a = 30; b = -38; c = +5;
Δ = b2-4ac
Δ = -382-4·30·5
Δ = 844
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:

$\sqrt{\Delta}=\sqrt{844}=\sqrt{4*211}=\sqrt{4}*\sqrt{211}=2\sqrt{211}$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-38)-2\sqrt{211}}{2*30}=\frac{38-2\sqrt{211}}{60}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38)+2\sqrt{211}}{2*30}=\frac{38+2\sqrt{211}}{60}
$