9x*9x=8x+10

Solution for 9x*9x=8x+10 equation:

9x*9x=8x+10

We move all terms to the left:

9x*9x-(8x+10)=0

Wy multiply elements

81x^2-(8x+10)=0

We get rid of parentheses

81x^2-8x-10=0

a = 81; b = -8; c = -10;
Δ = b2-4ac
Δ = -82-4·81·(-10)
Δ = 3304
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:

$\sqrt{\Delta}=\sqrt{3304}=\sqrt{4*826}=\sqrt{4}*\sqrt{826}=2\sqrt{826}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-2\sqrt{826}}{2*81}=\frac{8-2\sqrt{826}}{162}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+2\sqrt{826}}{2*81}=\frac{8+2\sqrt{826}}{162}
$