8x^2+9x=1260

Solution for 8x^2+9x=1260 equation:

8x^2+9x=1260

We move all terms to the left:

8x^2+9x-(1260)=0

a = 8; b = 9; c = -1260;
Δ = b2-4ac
Δ = 92-4·8·(-1260)
Δ = 40401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40401}=201$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-201}{2*8}=\frac{-210}{16}
=-13+1/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+201}{2*8}=\frac{192}{16}
=12
$