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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

You have entered [src] 
(x - 6)*(4*x - 6) = 0
(x−6)(4x−6)=0\left(x - 6\right) \left(4 x - 6\right) = 0
Simplify
Detail solution
Expand the expression in the equation
(x−6)(4x−6)=0\left(x - 6\right) \left(4 x - 6\right) = 0
We get the quadratic equation
4x2−30x+36=04 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:
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=−30b = -30
c=36c = 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
x1=6x_{1} = 6
x2=32x_{2} = \frac{3}{2}
The graph
05-10-5101520-5001000
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
6 + 3/2
32+6\frac{3}{2} + 6 
=
15/2
152\frac{15}{2} 
product
6*3
---
 2
3⋅62\frac{3 \cdot 6}{2} 
=
9
99 
9
Rapid solution [src] 
x1 = 3/2
x1=32x_{1} = \frac{3}{2} 
x2 = 6
x2=6x_{2} = 6 
x2 = 6
Numerical answer [src] 
x1 = 6.0
x2 = 1.5
x2 = 1.5
The graph
(x-6)(4x-6)=0 equation
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