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

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

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Numerical solution:

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The solution

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(x - 2)*(-2*x - 3) = 0
$$\left(- 2 x - 3\right) \left(x - 2\right) = 0$$
Detail solution
Expand the expression in the equation
$$\left(- 2 x - 3\right) \left(x - 2\right) = 0$$
We get the quadratic equation
$$- 2 x^{2} + x + 6 = 0$$
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:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = -2$$
$$b = 1$$
$$c = 6$$
, then
D = b^2 - 4 * a * c = 

(1)^2 - 4 * (-2) * (6) = 49

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

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

or
$$x_{1} = - \frac{3}{2}$$
$$x_{2} = 2$$
The graph
Rapid solution [src]
x1 = -3/2
$$x_{1} = - \frac{3}{2}$$
x2 = 2
$$x_{2} = 2$$
x2 = 2
Sum and product of roots [src]
sum
2 - 3/2
$$- \frac{3}{2} + 2$$
=
1/2
$$\frac{1}{2}$$
product
2*(-3)
------
  2   
$$\frac{\left(-3\right) 2}{2}$$
=
-3
$$-3$$
-3
Numerical answer [src]
x1 = -1.5
x2 = 2.0
x2 = 2.0
The graph
(x-2)(-2x-3)=0 equation