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(x-6)(4x-6)=0

(x-6)(4x-6)=0 equation

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Numerical solution:

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The solution

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(x - 6)*(4*x - 6) = 0
$$\left(x - 6\right) \left(4 x - 6\right) = 0$$
Detail solution
Expand the expression in the equation
$$\left(x - 6\right) \left(4 x - 6\right) = 0$$
We get the quadratic equation
$$4 x^{2} - 30 x + 36 = 0$$
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
$$a = 4$$
$$b = -30$$
$$c = 36$$
, then
D = b^2 - 4 * a * c = 

(-30)^2 - 4 * (4) * (36) = 324

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

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

or
$$x_{1} = 6$$
$$x_{2} = \frac{3}{2}$$
The graph
Sum and product of roots [src]
sum
6 + 3/2
$$\frac{3}{2} + 6$$
=
15/2
$$\frac{15}{2}$$
product
6*3
---
 2 
$$\frac{3 \cdot 6}{2}$$
=
9
$$9$$
9
Rapid solution [src]
x1 = 3/2
$$x_{1} = \frac{3}{2}$$
x2 = 6
$$x_{2} = 6$$
x2 = 6
Numerical answer [src]
x1 = 6.0
x2 = 1.5
x2 = 1.5
The graph
(x-6)(4x-6)=0 equation