8.4=6(a2.4)

Solution for 8.4=6(a2.4) equation:

8.4=6(a2.4)

We move all terms to the left:

8.4-(6(a2.4))=0

We add all the numbers together, and all the variables

-(6(+a2.4))+8.4=0


We calculate terms in parentheses: -(6(+a2.4)), so:

6(+a2.4)

We multiply parentheses

6a^2

Back to the equation:

-(6a^2)


a = -6; b = 0; c = +8.4;
Δ = b2-4ac
Δ = 02-4·(-6)·8.4
Δ = 201.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{201.6}}{2*-6}=\frac{0-\sqrt{201.6}}{-12}
=-\frac{\sqrt{}}{-12}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{201.6}}{2*-6}=\frac{0+\sqrt{201.6}}{-12}
=\frac{\sqrt{}}{-12}
$