9x^2=-73x-70

Solution for 9x^2=-73x-70 equation:

9x^2=-73x-70

We move all terms to the left:

9x^2-(-73x-70)=0

We get rid of parentheses

9x^2+73x+70=0

a = 9; b = 73; c = +70;
Δ = b2-4ac
Δ = 732-4·9·70
Δ = 2809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2809}=53$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(73)-53}{2*9}=\frac{-126}{18}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(73)+53}{2*9}=\frac{-20}{18}
=-1+1/9
$