x^2+2x+72=-25x

Solution for x^2+2x+72=-25x equation:

x^2+2x+72=-25x

We move all terms to the left:

x^2+2x+72-(-25x)=0

We get rid of parentheses

x^2+2x+25x+72=0

We add all the numbers together, and all the variables

x^2+27x+72=0

a = 1; b = 27; c = +72;
Δ = b2-4ac
Δ = 272-4·1·72
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-21}{2*1}=\frac{-48}{2}
=-24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+21}{2*1}=\frac{-6}{2}
=-3
$