9x^2-3x=56

Solution for 9x^2-3x=56 equation:

9x^2-3x=56

We move all terms to the left:

9x^2-3x-(56)=0

a = 9; b = -3; c = -56;
Δ = b2-4ac
Δ = -32-4·9·(-56)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-45}{2*9}=\frac{-42}{18}
=-2+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+45}{2*9}=\frac{48}{18}
=2+2/3
$