9x*8x+4=12-4x

Solution for 9x*8x+4=12-4x equation:

9x*8x+4=12-4x

We move all terms to the left:

9x*8x+4-(12-4x)=0

We add all the numbers together, and all the variables

9x*8x-(-4x+12)+4=0

Wy multiply elements

72x^2-(-4x+12)+4=0

We get rid of parentheses

72x^2+4x-12+4=0

We add all the numbers together, and all the variables

72x^2+4x-8=0

a = 72; b = 4; c = -8;
Δ = b2-4ac
Δ = 42-4·72·(-8)
Δ = 2320
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:

$\sqrt{\Delta}=\sqrt{2320}=\sqrt{16*145}=\sqrt{16}*\sqrt{145}=4\sqrt{145}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{145}}{2*72}=\frac{-4-4\sqrt{145}}{144}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{145}}{2*72}=\frac{-4+4\sqrt{145}}{144}
$