76a+18a*18a=-3

Solution for 76a+18a*18a=-3 equation:

76a+18a*18a=-3

We move all terms to the left:

76a+18a*18a-(-3)=0

We add all the numbers together, and all the variables

76a+18a*18a+3=0

Wy multiply elements

324a^2+76a+3=0

a = 324; b = 76; c = +3;
Δ = b2-4ac
Δ = 762-4·324·3
Δ = 1888
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1888}=\sqrt{16*118}=\sqrt{16}*\sqrt{118}=4\sqrt{118}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(76)-4\sqrt{118}}{2*324}=\frac{-76-4\sqrt{118}}{648}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(76)+4\sqrt{118}}{2*324}=\frac{-76+4\sqrt{118}}{648}
$