8m^2-7=777

Solution for 8m^2-7=777 equation:

8m^2-7=777

We move all terms to the left:

8m^2-7-(777)=0

We add all the numbers together, and all the variables

8m^2-784=0

a = 8; b = 0; c = -784;
Δ = b2-4ac
Δ = 02-4·8·(-784)
Δ = 25088
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{25088}=\sqrt{12544*2}=\sqrt{12544}*\sqrt{2}=112\sqrt{2}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-112\sqrt{2}}{2*8}=\frac{0-112\sqrt{2}}{16}
=-\frac{112\sqrt{2}}{16}
=-7\sqrt{2}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+112\sqrt{2}}{2*8}=\frac{0+112\sqrt{2}}{16}
=\frac{112\sqrt{2}}{16}
=7\sqrt{2}
$