8m2+-30m+7=0

Solution for 8m2+-30m+7=0 equation:

8m^2+-30m+7=0

We add all the numbers together, and all the variables

8m^2-30m=0

a = 8; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·8·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30}{2*8}=\frac{0}{16}
=0
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*8}=\frac{60}{16}
=3+3/4
$