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(2𝑥−1)4−8(2𝑥−1)2+16=0. equation

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Numerical solution:

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The solution

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(2*x - 1)*4 - 8*(2*x - 1)*2 + 16 = 0
$$\left(4 \left(2 x - 1\right) - 2 \cdot 8 \left(2 x - 1\right)\right) + 16 = 0$$
Detail solution
Given the linear equation:
(2*x-1)*4-8*(2*x-1)*2+16 = 0

Expand brackets in the left part
2*x*4-1*4-8*2*x*2+8*1*2+16 = 0

Looking for similar summands in the left part:
28 - 24*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 24 x = -28$$
Divide both parts of the equation by -24
x = -28 / (-24)

We get the answer: x = 7/6
The graph
Rapid solution [src]
x1 = 7/6
$$x_{1} = \frac{7}{6}$$
x1 = 7/6
Sum and product of roots [src]
sum
7/6
$$\frac{7}{6}$$
=
7/6
$$\frac{7}{6}$$
product
7/6
$$\frac{7}{6}$$
=
7/6
$$\frac{7}{6}$$
7/6
Numerical answer [src]
x1 = 1.16666666666667
x1 = 1.16666666666667