8x*9x-229=87971

Solution for 8x*9x-229=87971 equation:

8x*9x-229=87971

We move all terms to the left:

8x*9x-229-(87971)=0

We add all the numbers together, and all the variables

8x*9x-88200=0

Wy multiply elements

72x^2-88200=0

a = 72; b = 0; c = -88200;
Δ = b2-4ac
Δ = 02-4·72·(-88200)
Δ = 25401600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25401600}=5040$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-5040}{2*72}=\frac{-5040}{144}
=-35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+5040}{2*72}=\frac{5040}{144}
=35
$