x*87x+6x=45

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

x*87x+6x=45

We move all terms to the left:

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

We add all the numbers together, and all the variables

6x+x*87x-45=0

Wy multiply elements

87x^2+6x-45=0

a = 87; b = 6; c = -45;
Δ = b2-4ac
Δ = 62-4·87·(-45)
Δ = 15696
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:

$\sqrt{\Delta}=\sqrt{15696}=\sqrt{144*109}=\sqrt{144}*\sqrt{109}=12\sqrt{109}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-12\sqrt{109}}{2*87}=\frac{-6-12\sqrt{109}}{174}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+12\sqrt{109}}{2*87}=\frac{-6+12\sqrt{109}}{174}
$