9x(8x=3)

Solution for 9x(8x=3) equation:

9x(8x=3)

We move all terms to the left:

9x(8x-(3))=0

We multiply parentheses

72x^2-27x=0

a = 72; b = -27; c = 0;
Δ = b2-4ac
Δ = -272-4·72·0
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-27}{2*72}=\frac{0}{144}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+27}{2*72}=\frac{54}{144}
=3/8
$