16x+6=27X2

Solution for 16x+6=27X2 equation:

16x+6=27x^2

We move all terms to the left:

16x+6-(27x^2)=0

determiningTheFunctionDomain
-27x^2+16x+6=0

a = -27; b = 16; c = +6;
Δ = b2-4ac
Δ = 162-4·(-27)·6
Δ = 904
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{904}=\sqrt{4*226}=\sqrt{4}*\sqrt{226}=2\sqrt{226}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-2\sqrt{226}}{2*-27}=\frac{-16-2\sqrt{226}}{-54}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+2\sqrt{226}}{2*-27}=\frac{-16+2\sqrt{226}}{-54}
$