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

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

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Numerical solution:

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The solution

You have entered [src] 
(-4*x - 3)*(x - 3) = 0
(−4x−3)(x−3)=0\left(- 4 x - 3\right) \left(x - 3\right) = 0
Simplify
Detail solution
Expand the expression in the equation
(−4x−3)(x−3)=0\left(- 4 x - 3\right) \left(x - 3\right) = 0
We get the quadratic equation
−4x2+9x+9=0- 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:
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=−4a = -4
b=9b = 9
c=9c = 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
x1=−34x_{1} = - \frac{3}{4}
x2=3x_{2} = 3
The graph
05-15-10-51015-1000500
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -3/4
x1=−34x_{1} = - \frac{3}{4} 
x2 = 3
x2=3x_{2} = 3 
x2 = 3
Sum and product of roots [src] 
sum
3 - 3/4
−34+3- \frac{3}{4} + 3 
=
9/4
94\frac{9}{4} 
product
3*(-3)
------
  4
(−3)34\frac{\left(-3\right) 3}{4} 
=
-9/4
−94- \frac{9}{4} 
-9/4
Numerical answer [src] 
x1 = 3.0
x2 = -0.75
x2 = -0.75
The graph
(-4*x-3)*(x-3)=0 equation
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