10m^2+37m+7m=0

Solution for 10m^2+37m+7m=0 equation:

10m^2+37m+7m=0

We add all the numbers together, and all the variables

10m^2+44m=0

a = 10; b = 44; c = 0;
Δ = b2-4ac
Δ = 442-4·10·0
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-44}{2*10}=\frac{-88}{20}
=-4+2/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+44}{2*10}=\frac{0}{20}
=0
$