7h(8h+9)=0

Solution for 7h(8h+9)=0 equation:

7h(8h+9)=0

We multiply parentheses

56h^2+63h=0

a = 56; b = 63; c = 0;
Δ = b2-4ac
Δ = 632-4·56·0
Δ = 3969
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3969}=63$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(63)-63}{2*56}=\frac{-126}{112}
=-1+1/8
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(63)+63}{2*56}=\frac{0}{112}
=0
$