2x*87x+6x=45

Solution for 2x*87x+6x=45 equation:

2x*87x+6x=45

We move all terms to the left:

2x*87x+6x-(45)=0

We add all the numbers together, and all the variables

6x+2x*87x-45=0

Wy multiply elements

174x^2+6x-45=0

a = 174; b = 6; c = -45;
Δ = b2-4ac
Δ = 62-4·174·(-45)
Δ = 31356
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:

$\sqrt{\Delta}=\sqrt{31356}=\sqrt{36*871}=\sqrt{36}*\sqrt{871}=6\sqrt{871}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6\sqrt{871}}{2*174}=\frac{-6-6\sqrt{871}}{348}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6\sqrt{871}}{2*174}=\frac{-6+6\sqrt{871}}{348}
$