15x^2-23x=-4

Solution for 15x^2-23x=-4 equation:

15x^2-23x=-4

We move all terms to the left:

15x^2-23x-(-4)=0

We add all the numbers together, and all the variables

15x^2-23x+4=0

a = 15; b = -23; c = +4;
Δ = b2-4ac
Δ = -232-4·15·4
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-23)-17}{2*15}=\frac{6}{30}
=1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+17}{2*15}=\frac{40}{30}
=1+1/3
$