49x^2=14x

Solution for 49x^2=14x equation:

49x^2=14x

We move all terms to the left:

49x^2-(14x)=0

a = 49; b = -14; c = 0;
Δ = b2-4ac
Δ = -142-4·49·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-14}{2*49}=\frac{0}{98}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+14}{2*49}=\frac{28}{98}
=2/7
$