6x^2+3x=900

Solution for 6x^2+3x=900 equation:

6x^2+3x=900

We move all terms to the left:

6x^2+3x-(900)=0

a = 6; b = 3; c = -900;
Δ = b2-4ac
Δ = 32-4·6·(-900)
Δ = 21609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{21609}=147$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-147}{2*6}=\frac{-150}{12}
=-12+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+147}{2*6}=\frac{144}{12}
=12
$