3m^2-7m=2

Solution for 3m^2-7m=2 equation:

3m^2-7m=2

We move all terms to the left:

3m^2-7m-(2)=0

a = 3; b = -7; c = -2;
Δ = b2-4ac
Δ = -72-4·3·(-2)
Δ = 73
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{73}}{2*3}=\frac{7-\sqrt{73}}{6}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{73}}{2*3}=\frac{7+\sqrt{73}}{6}
$