7.5h+10=6.25(h+3)7.5h+10=6.25(h+3)

Solution for 7.5h+10=6.25(h+3)7.5h+10=6.25(h+3) equation:

7.5h+10=6.25(h+3)7.5h+10=6.25(h+3)

We move all terms to the left:

7.5h+10-(6.25(h+3)7.5h+10)=0


We calculate terms in parentheses: -(6.25(h+3)7.5h+10), so:

6.25(h+3)7.5h+10

We multiply parentheses

43h^2+129h+10

Back to the equation:

-(43h^2+129h+10)


We get rid of parentheses

-43h^2+7.5h-129h-10+10=0

We add all the numbers together, and all the variables

-43h^2-121.5h=0

a = -43; b = -121.5; c = 0;
Δ = b2-4ac
Δ = -121.52-4·(-43)·0
Δ = 14762.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-121.5)-\sqrt{14762.25}}{2*-43}=\frac{121.5-\sqrt{14762.25}}{-86}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-121.5)+\sqrt{14762.25}}{2*-43}=\frac{121.5+\sqrt{14762.25}}{-86}
$