16x2=36x-6

Solution for 16x2=36x-6 equation:

16x^2=36x-6

We move all terms to the left:

16x^2-(36x-6)=0

We get rid of parentheses

16x^2-36x+6=0

a = 16; b = -36; c = +6;
Δ = b2-4ac
Δ = -362-4·16·6
Δ = 912
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:

$\sqrt{\Delta}=\sqrt{912}=\sqrt{16*57}=\sqrt{16}*\sqrt{57}=4\sqrt{57}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-4\sqrt{57}}{2*16}=\frac{36-4\sqrt{57}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+4\sqrt{57}}{2*16}=\frac{36+4\sqrt{57}}{32}
$