8x*11x=144

Solution for 8x*11x=144 equation:

8x*11x=144

We move all terms to the left:

8x*11x-(144)=0

Wy multiply elements

88x^2-144=0

a = 88; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·88·(-144)
Δ = 50688
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:

$\sqrt{\Delta}=\sqrt{50688}=\sqrt{2304*22}=\sqrt{2304}*\sqrt{22}=48\sqrt{22}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{22}}{2*88}=\frac{0-48\sqrt{22}}{176}
=-\frac{48\sqrt{22}}{176}
=-\frac{3\sqrt{22}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{22}}{2*88}=\frac{0+48\sqrt{22}}{176}
=\frac{48\sqrt{22}}{176}
=\frac{3\sqrt{22}}{11}
$