36x^2=49x

Solution for 36x^2=49x equation:

36x^2=49x

We move all terms to the left:

36x^2-(49x)=0

a = 36; b = -49; c = 0;
Δ = b2-4ac
Δ = -492-4·36·0
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-49}{2*36}=\frac{0}{72}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+49}{2*36}=\frac{98}{72}
=1+13/36
$