5x2=-25-30x

Solution for 5x2=-25-30x equation:

5x^2=-25-30x

We move all terms to the left:

5x^2-(-25-30x)=0

We add all the numbers together, and all the variables

5x^2-(-30x-25)=0

We get rid of parentheses

5x^2+30x+25=0

a = 5; b = 30; c = +25;
Δ = b2-4ac
Δ = 302-4·5·25
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-20}{2*5}=\frac{-50}{10}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+20}{2*5}=\frac{-10}{10}
=-1
$