8x+3-6-2x+5x(6+-7x)=5x-15(62)-87+3x

Solution for 8x+3-6-2x+5x(6+-7x)=5x-15(62)-87+3x equation:

8x+3-6-2x+5x(6+-7x)=5x-15(62)-87+3x

We move all terms to the left:

8x+3-6-2x+5x(6+-7x)-(5x-15(62)-87+3x)=0

We add all the numbers together, and all the variables

8x-2x+5x(-7x)-(8x-1649)+3-6=0

We add all the numbers together, and all the variables

6x+5x(-7x)-(8x-1649)-3=0

We multiply parentheses

-35x^2+6x-(8x-1649)-3=0

We get rid of parentheses

-35x^2+6x-8x+1649-3=0

We add all the numbers together, and all the variables

-35x^2-2x+1646=0

a = -35; b = -2; c = +1646;
Δ = b2-4ac
Δ = -22-4·(-35)·1646
Δ = 230444
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:

$\sqrt{\Delta}=\sqrt{230444}=\sqrt{4*57611}=\sqrt{4}*\sqrt{57611}=2\sqrt{57611}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{57611}}{2*-35}=\frac{2-2\sqrt{57611}}{-70}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{57611}}{2*-35}=\frac{2+2\sqrt{57611}}{-70}
$