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(2x-5)^2-(x-1)(4x+2)=5-7x equation

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Numerical solution:

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The solution

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(2*x - 5)  - (x - 1)*(4*x + 2) = 5 - 7*x
$$- \left(x - 1\right) \left(4 x + 2\right) + \left(2 x - 5\right)^{2} = 5 - 7 x$$
Detail solution
Given the equation:
(2*x-5)^2-(x-1)*(4*x+2) = 5-7*x

Expand expressions:
25 - 20*x + 4*x^2 - (x - 1)*(4*x + 2) = 5-7*x

25 - 20*x + 4*x^2 + 2 - 4*x^2 + 2*x = 5-7*x

Reducing, you get:
22 - 11*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 11 x = -22$$
Divide both parts of the equation by -11
x = -22 / (-11)

We get the answer: x = 2
The graph
Rapid solution [src]
x1 = 2
$$x_{1} = 2$$
x1 = 2
Sum and product of roots [src]
sum
2
$$2$$
=
2
$$2$$
product
2
$$2$$
=
2
$$2$$
2
Numerical answer [src]
x1 = 2.0
x1 = 2.0