3a*4a/2=294

Solution for 3a*4a/2=294 equation:

3a*4a/2=294

We move all terms to the left:

3a*4a/2-(294)=0

We multiply all the terms by the denominator


3a*4a-294*2=0

We add all the numbers together, and all the variables

3a*4a-588=0

Wy multiply elements

12a^2-588=0

a = 12; b = 0; c = -588;
Δ = b2-4ac
Δ = 02-4·12·(-588)
Δ = 28224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28224}=168$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-168}{2*12}=\frac{-168}{24}
=-7
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+168}{2*12}=\frac{168}{24}
=7
$