12x2-75x=63

Solution for 12x2-75x=63 equation:

12x^2-75x=63

We move all terms to the left:

12x^2-75x-(63)=0

a = 12; b = -75; c = -63;
Δ = b2-4ac
Δ = -752-4·12·(-63)
Δ = 8649
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8649}=93$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-93}{2*12}=\frac{-18}{24}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+93}{2*12}=\frac{168}{24}
=7
$