7x=9x2=5x-6

Solution for 7x=9x2=5x-6 equation:

7x=9x^2=5x-6

We move all terms to the left:

7x-(9x^2)=0

determiningTheFunctionDomain
-9x^2+7x=0

a = -9; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·(-9)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*-9}=\frac{-14}{-18}
=7/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*-9}=\frac{0}{-18}
=0
$