43h=-h^2

Solution for 43h=-h^2 equation:

43h=-h^2

We move all terms to the left:

43h-(-h^2)=0

We get rid of parentheses

h^2+43h=0

a = 1; b = 43; c = 0;
Δ = b2-4ac
Δ = 432-4·1·0
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(43)-43}{2*1}=\frac{-86}{2}
=-43
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(43)+43}{2*1}=\frac{0}{2}
=0
$