24x^2-36x/2=0

Solution for 24x^2-36x/2=0 equation:

24x^2-36x/2=0

We multiply all the terms by the denominator


24x^2*2-36x=0

Wy multiply elements

48x^2-36x=0

a = 48; b = -36; c = 0;
Δ = b2-4ac
Δ = -362-4·48·0
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-36}{2*48}=\frac{0}{96}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+36}{2*48}=\frac{72}{96}
=3/4
$