(x-7.3)(x+0.5)=0

Solution for (x-7.3)(x+0.5)=0 equation:

(x-7.3)(x+0.5)=0

We multiply parentheses ..

(+x^2+0.5x-7.3x-3.65)=0

We get rid of parentheses

x^2+0.5x-7.3x-3.65=0

We add all the numbers together, and all the variables

x^2-6.8x-3.65=0

a = 1; b = -6.8; c = -3.65;
Δ = b2-4ac
Δ = -6.82-4·1·(-3.65)
Δ = 60.84
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6.8)-\sqrt{60.84}}{2*1}=\frac{6.8-\sqrt{60.84}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.8)+\sqrt{60.84}}{2*1}=\frac{6.8+\sqrt{60.84}}{2}
$