13x^2+8x=176

Solution for 13x^2+8x=176 equation:

13x^2+8x=176

We move all terms to the left:

13x^2+8x-(176)=0

a = 13; b = 8; c = -176;
Δ = b2-4ac
Δ = 82-4·13·(-176)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-96}{2*13}=\frac{-104}{26}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+96}{2*13}=\frac{88}{26}
=3+5/13
$