6x^2+23x+25=5

Solution for 6x^2+23x+25=5 equation:

6x^2+23x+25=5

We move all terms to the left:

6x^2+23x+25-(5)=0

We add all the numbers together, and all the variables

6x^2+23x+20=0

a = 6; b = 23; c = +20;
Δ = b2-4ac
Δ = 232-4·6·20
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(23)-7}{2*6}=\frac{-30}{12}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+7}{2*6}=\frac{-16}{12}
=-1+1/3
$