336x^2+24=172

Solution for 336x^2+24=172 equation:

336x^2+24=172

We move all terms to the left:

336x^2+24-(172)=0

We add all the numbers together, and all the variables

336x^2-148=0

a = 336; b = 0; c = -148;
Δ = b2-4ac
Δ = 02-4·336·(-148)
Δ = 198912
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:

$\sqrt{\Delta}=\sqrt{198912}=\sqrt{256*777}=\sqrt{256}*\sqrt{777}=16\sqrt{777}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{777}}{2*336}=\frac{0-16\sqrt{777}}{672}
=-\frac{16\sqrt{777}}{672}
=-\frac{\sqrt{777}}{42}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{777}}{2*336}=\frac{0+16\sqrt{777}}{672}
=\frac{16\sqrt{777}}{672}
=\frac{\sqrt{777}}{42}
$