35m^2-147m-140=0

Solution for 35m^2-147m-140=0 equation:

35m^2-147m-140=0

a = 35; b = -147; c = -140;
Δ = b2-4ac
Δ = -1472-4·35·(-140)
Δ = 41209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{41209}=203$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-147)-203}{2*35}=\frac{-56}{70}
=-4/5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-147)+203}{2*35}=\frac{350}{70}
=5
$