x2+4x+30=-8x+3

Solution for x2+4x+30=-8x+3 equation:

x2+4x+30=-8x+3

We move all terms to the left:

x2+4x+30-(-8x+3)=0

We add all the numbers together, and all the variables

x^2+4x-(-8x+3)+30=0

We get rid of parentheses

x^2+4x+8x-3+30=0

We add all the numbers together, and all the variables

x^2+12x+27=0

a = 1; b = 12; c = +27;
Δ = b2-4ac
Δ = 122-4·1·27
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-6}{2*1}=\frac{-18}{2}
=-9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+6}{2*1}=\frac{-6}{2}
=-3
$