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(-4x-3)*(x-3)=0

(-4x-3)*(x-3)=0 equation

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Numerical solution:

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The solution

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(-4*x - 3)*(x - 3) = 0
$$\left(- 4 x - 3\right) \left(x - 3\right) = 0$$
Detail solution
Expand the expression in the equation
$$\left(- 4 x - 3\right) \left(x - 3\right) + 0 = 0$$
We get the quadratic equation
$$- 4 x^{2} + 9 x + 9 = 0$$
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
$$a = -4$$
$$b = 9$$
$$c = 9$$
, then
D = b^2 - 4 * a * c = 

(9)^2 - 4 * (-4) * (9) = 225

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

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

or
$$x_{1} = - \frac{3}{4}$$
Simplify
$$x_{2} = 3$$
Simplify
The graph
Rapid solution [src]
x1 = -3/4
$$x_{1} = - \frac{3}{4}$$
x2 = 3
$$x_{2} = 3$$
Sum and product of roots [src]
sum
0 - 3/4 + 3
$$\left(- \frac{3}{4} + 0\right) + 3$$
=
9/4
$$\frac{9}{4}$$
product
1*-3/4*3
$$1 \left(- \frac{3}{4}\right) 3$$
=
-9/4
$$- \frac{9}{4}$$
-9/4
Numerical answer [src]
x1 = -0.75
x2 = 3.0
x2 = 3.0
The graph
(-4x-3)*(x-3)=0 equation