355m(m=7)

Solution for 355m(m=7) equation:

355m(m=7)

We move all terms to the left:

355m(m-(7))=0

We multiply parentheses

355m^2-2485m=0

a = 355; b = -2485; c = 0;
Δ = b2-4ac
Δ = -24852-4·355·0
Δ = 6175225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6175225}=2485$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2485)-2485}{2*355}=\frac{0}{710}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2485)+2485}{2*355}=\frac{4970}{710}
=7
$