5x*x+23x+12=0

Solution for 5x*x+23x+12=0 equation:

5x*x+23x+12=0

We add all the numbers together, and all the variables

23x+5x*x+12=0

Wy multiply elements

5x^2+23x+12=0

a = 5; b = 23; c = +12;
Δ = b2-4ac
Δ = 232-4·5·12
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*5}=\frac{-40}{10}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+17}{2*5}=\frac{-6}{10}
=-3/5
$