5x*7x-8=14

Solution for 5x*7x-8=14 equation:

5x*7x-8=14

We move all terms to the left:

5x*7x-8-(14)=0

We add all the numbers together, and all the variables

5x*7x-22=0

Wy multiply elements

35x^2-22=0

a = 35; b = 0; c = -22;
Δ = b2-4ac
Δ = 02-4·35·(-22)
Δ = 3080
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3080}=\sqrt{4*770}=\sqrt{4}*\sqrt{770}=2\sqrt{770}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{770}}{2*35}=\frac{0-2\sqrt{770}}{70}
=-\frac{2\sqrt{770}}{70}
=-\frac{\sqrt{770}}{35}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{770}}{2*35}=\frac{0+2\sqrt{770}}{70}
=\frac{2\sqrt{770}}{70}
=\frac{\sqrt{770}}{35}
$