10X2+10x+12=72

Solution for 10X2+10x+12=72 equation:

10X^2+10X+12=72

We move all terms to the left:

10X^2+10X+12-(72)=0

We add all the numbers together, and all the variables

10X^2+10X-60=0

a = 10; b = 10; c = -60;
Δ = b2-4ac
Δ = 102-4·10·(-60)
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-50}{2*10}=\frac{-60}{20}
=-3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+50}{2*10}=\frac{40}{20}
=2
$