5x^2-8x=132

Solution for 5x^2-8x=132 equation:

5x^2-8x=132

We move all terms to the left:

5x^2-8x-(132)=0

a = 5; b = -8; c = -132;
Δ = b2-4ac
Δ = -82-4·5·(-132)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-52}{2*5}=\frac{-44}{10}
=-4+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+52}{2*5}=\frac{60}{10}
=6
$