1.5h(2-4h)=6h

Solution for 1.5h(2-4h)=6h equation:

1.5h(2-4h)=6h

We move all terms to the left:

1.5h(2-4h)-(6h)=0

We add all the numbers together, and all the variables

1.5h(-4h+2)-6h=0

We add all the numbers together, and all the variables

-6h+1.5h(-4h+2)=0

We multiply parentheses

-4h^2-6h+2h=0

We add all the numbers together, and all the variables

-4h^2-4h=0

a = -4; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·(-4)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*-4}=\frac{0}{-8}
=0
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*-4}=\frac{8}{-8}
=-1
$