5x2=-140-55x

Solution for 5x2=-140-55x equation:

5x^2=-140-55x

We move all terms to the left:

5x^2-(-140-55x)=0

We add all the numbers together, and all the variables

5x^2-(-55x-140)=0

We get rid of parentheses

5x^2+55x+140=0

a = 5; b = 55; c = +140;
Δ = b2-4ac
Δ = 552-4·5·140
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(55)-15}{2*5}=\frac{-70}{10}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(55)+15}{2*5}=\frac{-40}{10}
=-4
$