7m(6m-9)=5

Solution for 7m(6m-9)=5 equation:

7m(6m-9)=5

We move all terms to the left:

7m(6m-9)-(5)=0

We multiply parentheses

42m^2-63m-5=0

a = 42; b = -63; c = -5;
Δ = b2-4ac
Δ = -632-4·42·(-5)
Δ = 4809
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{-(-63)-\sqrt{4809}}{2*42}=\frac{63-\sqrt{4809}}{84}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+\sqrt{4809}}{2*42}=\frac{63+\sqrt{4809}}{84}
$