25x^2+30x+4=-4

Solution for 25x^2+30x+4=-4 equation:

25x^2+30x+4=-4

We move all terms to the left:

25x^2+30x+4-(-4)=0

We add all the numbers together, and all the variables

25x^2+30x+8=0

a = 25; b = 30; c = +8;
Δ = b2-4ac
Δ = 302-4·25·8
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-10}{2*25}=\frac{-40}{50}
=-4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+10}{2*25}=\frac{-20}{50}
=-2/5
$