7m+6=9m2

Solution for 7m+6=9m2 equation:

7m+6=9m^2

We move all terms to the left:

7m+6-(9m^2)=0

determiningTheFunctionDomain
-9m^2+7m+6=0

a = -9; b = 7; c = +6;
Δ = b2-4ac
Δ = 72-4·(-9)·6
Δ = 265
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{265}}{2*-9}=\frac{-7-\sqrt{265}}{-18}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{265}}{2*-9}=\frac{-7+\sqrt{265}}{-18}
$