5x^2+70x=-60

Solution for 5x^2+70x=-60 equation:

5x^2+70x=-60

We move all terms to the left:

5x^2+70x-(-60)=0

We add all the numbers together, and all the variables

5x^2+70x+60=0

a = 5; b = 70; c = +60;
Δ = b2-4ac
Δ = 702-4·5·60
Δ = 3700
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3700}=\sqrt{100*37}=\sqrt{100}*\sqrt{37}=10\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-10\sqrt{37}}{2*5}=\frac{-70-10\sqrt{37}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+10\sqrt{37}}{2*5}=\frac{-70+10\sqrt{37}}{10}
$