m^2-70=-9m

Solution for m^2-70=-9m equation:

m^2-70=-9m

We move all terms to the left:

m^2-70-(-9m)=0

We get rid of parentheses

m^2+9m-70=0

a = 1; b = 9; c = -70;
Δ = b2-4ac
Δ = 92-4·1·(-70)
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-19}{2*1}=\frac{-28}{2}
=-14
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+19}{2*1}=\frac{10}{2}
=5
$