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(x+10)(-x-8)=0

(x+10)(-x-8)=0 equação

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Numerical solution:

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A solução

You have entered [src] 
(x + 10)*(-x - 8) = 0
(−x−8)(x+10)=0\left(- x - 8\right) \left(x + 10\right) = 0
Simplify
Detail solution
Expand the expression in the equation
(−x−8)(x+10)=0\left(- x - 8\right) \left(x + 10\right) = 0
We get the quadratic equation
−x2−18x−80=0- x^{2} - 18 x - 80 = 0
This equation is of the form
a*x^2 + b*x + c = 0

A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
x1=D−b2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=−D−b2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
where D = b^2 - 4*a*c - it is the discriminant.
Because
a=−1a = -1
b=−18b = -18
c=−80c = -80
, then
D = b^2 - 4 * a * c = 

(-18)^2 - 4 * (-1) * (-80) = 4

Because D > 0, then the equation has two roots.
x1 = (-b + sqrt(D)) / (2*a)

x2 = (-b - sqrt(D)) / (2*a)

or
x1=−10x_{1} = -10
x2=−8x_{2} = -8
The graph
0-30-25-20-15-10-5-200100
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
-10 - 8
−10−8-10 - 8 
=
-18
−18-18 
product
-10*(-8)
−−80- -80 
=
80
8080 
80
Rapid solution [src] 
x1 = -10
x1=−10x_{1} = -10 
x2 = -8
x2=−8x_{2} = -8 
x2 = -8
Numerical answer [src] 
x1 = -10.0
x2 = -8.0
x2 = -8.0
Gráfico
(x+10)(-x-8)=0 equação
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