8x*7x=10x-2*5x+3

Solution for 8x*7x=10x-2*5x+3 equation:

8x*7x=10x-2*5x+3

We move all terms to the left:

8x*7x-(10x-2*5x+3)=0

Wy multiply elements

56x^2-(10x-2*5x+3)=0

We get rid of parentheses

56x^2-10x+2*5x-3=0

Wy multiply elements

56x^2-10x+10x-3=0

We add all the numbers together, and all the variables

56x^2-3=0

a = 56; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·56·(-3)
Δ = 672
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:

$\sqrt{\Delta}=\sqrt{672}=\sqrt{16*42}=\sqrt{16}*\sqrt{42}=4\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{42}}{2*56}=\frac{0-4\sqrt{42}}{112}
=-\frac{4\sqrt{42}}{112}
=-\frac{\sqrt{42}}{28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{42}}{2*56}=\frac{0+4\sqrt{42}}{112}
=\frac{4\sqrt{42}}{112}
=\frac{\sqrt{42}}{28}
$