7m(2m+10)=

Solution for 7m(2m+10)= equation:

7m(2m+10)=

We move all terms to the left:

7m(2m+10)-()=0

We add all the numbers together, and all the variables

7m(2m+10)=0

We multiply parentheses

14m^2+70m=0

a = 14; b = 70; c = 0;
Δ = b2-4ac
Δ = 702-4·14·0
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-70}{2*14}=\frac{-140}{28}
=-5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+70}{2*14}=\frac{0}{28}
=0
$