6(x2)=3610x

Solution for 6(x2)=3610x equation:

6(x2)=3610x

We move all terms to the left:

6(x2)-(3610x)=0

We add all the numbers together, and all the variables

6x^2-3610x=0

a = 6; b = -3610; c = 0;
Δ = b2-4ac
Δ = -36102-4·6·0
Δ = 13032100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13032100}=3610$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3610)-3610}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3610)+3610}{2*6}=\frac{7220}{12}
=601+2/3
$