5x^2+5x+2=25

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

5x^2+5x+2=25

We move all terms to the left:

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

We add all the numbers together, and all the variables

5x^2+5x-23=0

a = 5; b = 5; c = -23;
Δ = b2-4ac
Δ = 52-4·5·(-23)
Δ = 485
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{485}}{2*5}=\frac{-5-\sqrt{485}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{485}}{2*5}=\frac{-5+\sqrt{485}}{10}
$