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(5x+3)(x-2)=0 equation

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Numerical solution:

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The solution

You have entered [src] 
(5*x + 3)*(x - 2) = 0
(x−2)(5x+3)=0\left(x - 2\right) \left(5 x + 3\right) = 0
Simplify
Detail solution
Expand the expression in the equation
(x−2)(5x+3)=0\left(x - 2\right) \left(5 x + 3\right) = 0
We get the quadratic equation
5x2−7x−6=05 x^{2} - 7 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=5a = 5
b=−7b = -7
c=−6c = -6
, then
D = b^2 - 4 * a * c = 

(-7)^2 - 4 * (5) * (-6) = 169

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=−35x_{2} = - \frac{3}{5}
The graph
05-15-10-51015-5001000
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
2 - 3/5
−35+2- \frac{3}{5} + 2 
=
7/5
75\frac{7}{5} 
product
2*(-3)
------
  5
(−3)25\frac{\left(-3\right) 2}{5} 
=
-6/5
−65- \frac{6}{5} 
-6/5
Rapid solution [src] 
x1 = -3/5
x1=−35x_{1} = - \frac{3}{5} 
x2 = 2
x2=2x_{2} = 2 
x2 = 2
Numerical answer [src] 
x1 = -0.6
x2 = 2.0
x2 = 2.0
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