24x(3/4)=144

Solution for 24x(3/4)=144 equation:

24x(3/4)=144

We move all terms to the left:

24x(3/4)-(144)=0

We add all the numbers together, and all the variables

24x(+3/4)-144=0

We multiply parentheses

72x^2-144=0

a = 72; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·72·(-144)
Δ = 41472
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:

$\sqrt{\Delta}=\sqrt{41472}=\sqrt{20736*2}=\sqrt{20736}*\sqrt{2}=144\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144\sqrt{2}}{2*72}=\frac{0-144\sqrt{2}}{144}
=-\frac{144\sqrt{2}}{144}
=-\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144\sqrt{2}}{2*72}=\frac{0+144\sqrt{2}}{144}
=\frac{144\sqrt{2}}{144}
=\sqrt{2}
$