9x+6=6x(2)

Solution for 9x+6=6x(2) equation:

9x+6=6x(2)

We move all terms to the left:

9x+6-(6x(2))=0

determiningTheFunctionDomain
9x-6x2+6=0

We add all the numbers together, and all the variables

-6x^2+9x+6=0

a = -6; b = 9; c = +6;
Δ = b2-4ac
Δ = 92-4·(-6)·6
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-15}{2*-6}=\frac{-24}{-12}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+15}{2*-6}=\frac{6}{-12}
=-1/2
$