10x2+76x+-32=0

Solution for 10x2+76x+-32=0 equation:

10x^2+76x+-32=0

We add all the numbers together, and all the variables

10x^2+76x=0

a = 10; b = 76; c = 0;
Δ = b2-4ac
Δ = 762-4·10·0
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(76)-76}{2*10}=\frac{-152}{20}
=-7+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(76)+76}{2*10}=\frac{0}{20}
=0
$