4(3r2+2)=776

Solution for 4(3r2+2)=776 equation:

4(3r^2+2)=776

We move all terms to the left:

4(3r^2+2)-(776)=0

We multiply parentheses

12r^2+8-776=0

We add all the numbers together, and all the variables

12r^2-768=0

a = 12; b = 0; c = -768;
Δ = b2-4ac
Δ = 02-4·12·(-768)
Δ = 36864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36864}=192$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-192}{2*12}=\frac{-192}{24}
=-8
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+192}{2*12}=\frac{192}{24}
=8
$