3x*x=14700

Solution for 3x*x=14700 equation:

3x*x=14700

We move all terms to the left:

3x*x-(14700)=0

Wy multiply elements

3x^2-14700=0

a = 3; b = 0; c = -14700;
Δ = b2-4ac
Δ = 02-4·3·(-14700)
Δ = 176400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{176400}=420$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-420}{2*3}=\frac{-420}{6}
=-70
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+420}{2*3}=\frac{420}{6}
=70
$