29x*33*14x=162

Solution for 29x*33*14x=162 equation:

29x*33*14x=162

We move all terms to the left:

29x*33*14x-(162)=0

Wy multiply elements

13398x^2*1-162=0

Wy multiply elements

13398x^2-162=0

a = 13398; b = 0; c = -162;
Δ = b2-4ac
Δ = 02-4·13398·(-162)
Δ = 8681904
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:

$\sqrt{\Delta}=\sqrt{8681904}=\sqrt{1296*6699}=\sqrt{1296}*\sqrt{6699}=36\sqrt{6699}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36\sqrt{6699}}{2*13398}=\frac{0-36\sqrt{6699}}{26796}
=-\frac{36\sqrt{6699}}{26796}
=-\frac{3\sqrt{6699}}{2233}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36\sqrt{6699}}{2*13398}=\frac{0+36\sqrt{6699}}{26796}
=\frac{36\sqrt{6699}}{26796}
=\frac{3\sqrt{6699}}{2233}
$