13x-3x^2=-88

Solution for 13x-3x^2=-88 equation:

13x-3x^2=-88

We move all terms to the left:

13x-3x^2-(-88)=0

We add all the numbers together, and all the variables

-3x^2+13x+88=0

a = -3; b = 13; c = +88;
Δ = b2-4ac
Δ = 132-4·(-3)·88
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-35}{2*-3}=\frac{-48}{-6}
=+8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+35}{2*-3}=\frac{22}{-6}
=-3+2/3
$