4x^2=75x

Solution for 4x^2=75x equation:

4x^2=75x

We move all terms to the left:

4x^2-(75x)=0

a = 4; b = -75; c = 0;
Δ = b2-4ac
Δ = -752-4·4·0
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-75}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+75}{2*4}=\frac{150}{8}
=18+3/4
$