7x^2=47x

Solution for 7x^2=47x equation:

7x^2=47x

We move all terms to the left:

7x^2-(47x)=0

a = 7; b = -47; c = 0;
Δ = b2-4ac
Δ = -472-4·7·0
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-47)-47}{2*7}=\frac{0}{14}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-47)+47}{2*7}=\frac{94}{14}
=6+5/7
$