56x^2-15x=54

Solution for 56x^2-15x=54 equation:

56x^2-15x=54

We move all terms to the left:

56x^2-15x-(54)=0

a = 56; b = -15; c = -54;
Δ = b2-4ac
Δ = -152-4·56·(-54)
Δ = 12321
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12321}=111$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-111}{2*56}=\frac{-96}{112}
=-6/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+111}{2*56}=\frac{126}{112}
=1+1/8
$