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(-5x+2)(-x-4)=0

(-5x+2)(-x-4)=0 equation

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Numerical solution:

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The solution

You have entered [src] 
(-5*x + 2)*(-x - 4) = 0
(2−5x)(−x−4)=0\left(2 - 5 x\right) \left(- x - 4\right) = 0
Simplify
Detail solution
Expand the expression in the equation
(2−5x)(−x−4)+0=0\left(2 - 5 x\right) \left(- x - 4\right) + 0 = 0
We get the quadratic equation
5x2+18x−8=05 x^{2} + 18 x - 8 = 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=5a = 5
b=18b = 18
c=−8c = -8
, then
D = b^2 - 4 * a * c = 

(18)^2 - 4 * (5) * (-8) = 484

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

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

or
x1=25x_{1} = \frac{2}{5}
Simplify
x2=−4x_{2} = -4
Simplify
The graph
05-20-15-10-51015-10001000
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -4
x1=−4x_{1} = -4
Simplify 
x2 = 2/5
x2=25x_{2} = \frac{2}{5}
Simplify
Sum and product of roots [src] 
sum
0 - 4 + 2/5
(−4+0)+25\left(-4 + 0\right) + \frac{2}{5} 
=
-18/5
−185- \frac{18}{5} 
product
1*-4*2/5
1(−4)251 \left(-4\right) \frac{2}{5} 
=
-8/5
−85- \frac{8}{5} 
-8/5
Numerical answer [src] 
x1 = -4.0
x2 = 0.4
x2 = 0.4
The graph
(-5x+2)(-x-4)=0 equation
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