(x+14.7)(-6-x)=0

Solution for (x+14.7)(-6-x)=0 equation:

(x+14.7)(-6-x)=0

We add all the numbers together, and all the variables

(x+14.7)(-1x-6)=0

We multiply parentheses ..

(-1x^2-6x-14.7x-88.2)=0

We get rid of parentheses

-1x^2-6x-14.7x-88.2=0

We add all the numbers together, and all the variables

-1x^2-20.7x-88.2=0

a = -1; b = -20.7; c = -88.2;
Δ = b2-4ac
Δ = -20.72-4·(-1)·(-88.2)
Δ = 75.69
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{-(-20.7)-\sqrt{75.69}}{2*-1}=\frac{20.7-\sqrt{75.69}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20.7)+\sqrt{75.69}}{2*-1}=\frac{20.7+\sqrt{75.69}}{-2}
$