E=8a(9a-3)

Solution for E=8a(9a-3) equation:

=8E(9E-3)

We move all terms to the left:

-(8E(9E-3))=0


We calculate terms in parentheses: -(8E(9E-3)), so:

8E(9E-3)

We multiply parentheses

72E^2-24E

Back to the equation:

-(72E^2-24E)


We get rid of parentheses

-72E^2+24E=0

a = -72; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·(-72)·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*-72}=\frac{-48}{-144}
=1/3
$
$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*-72}=\frac{0}{-144}
=0
$