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(x+3)*(x-2)=0

(x+3)*(x-2)=0 equation

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Numerical solution:

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The solution

You have entered [src] 
(x + 3)*(x - 2) = 0
(x−2)(x+3)=0\left(x - 2\right) \left(x + 3\right) = 0
Simplify
Detail solution
Expand the expression in the equation
(x−2)(x+3)=0\left(x - 2\right) \left(x + 3\right) = 0
We get the quadratic equation
x2+x−6=0x^{2} + x - 6 = 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=1b = 1
c=−6c = -6
, then
D = b^2 - 4 * a * c = 

(1)^2 - 4 * (1) * (-6) = 25

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

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

or
x1=2x_{1} = 2
x2=−3x_{2} = -3
The graph
05-15-10-51015-200200
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -3
x1=−3x_{1} = -3 
x2 = 2
x2=2x_{2} = 2 
x2 = 2
Sum and product of roots [src] 
sum
-3 + 2
−3+2-3 + 2 
=
-1
−1-1 
product
-3*2
−6- 6 
=
-6
−6-6 
-6
Numerical answer [src] 
x1 = -3.0
x2 = 2.0
x2 = 2.0
The graph
(x+3)*(x-2)=0 equation
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