5x^2+18x+35=-22x

Solution for 5x^2+18x+35=-22x equation:

5x^2+18x+35=-22x

We move all terms to the left:

5x^2+18x+35-(-22x)=0

We get rid of parentheses

5x^2+18x+22x+35=0

We add all the numbers together, and all the variables

5x^2+40x+35=0

a = 5; b = 40; c = +35;
Δ = b2-4ac
Δ = 402-4·5·35
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-30}{2*5}=\frac{-70}{10}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+30}{2*5}=\frac{-10}{10}
=-1
$