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(4*x-5)*(x+3)=(2*x-3)^2 equation

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Numerical solution:

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The solution

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                             2
(4*x - 5)*(x + 3) = (2*x - 3) 
$$\left(x + 3\right) \left(4 x - 5\right) = \left(2 x - 3\right)^{2}$$
Detail solution
Given the equation:
(4*x-5)*(x+3) = (2*x-3)^2

Expand expressions:
-15 + 4*x^2 + 7*x = (2*x-3)^2

(4*x-5)*(x+3) = 9 - 12*x + 4*x^2

Reducing, you get:
-24 + 19*x = 0

Move free summands (without x)
from left part to right part, we given:
$$19 x = 24$$
Divide both parts of the equation by 19
x = 24 / (19)

We get the answer: x = 24/19
The graph
Sum and product of roots [src]
sum
24
--
19
$$\frac{24}{19}$$
=
24
--
19
$$\frac{24}{19}$$
product
24
--
19
$$\frac{24}{19}$$
=
24
--
19
$$\frac{24}{19}$$
24/19
Rapid solution [src]
     24
x1 = --
     19
$$x_{1} = \frac{24}{19}$$
x1 = 24/19
Numerical answer [src]
x1 = 1.26315789473684
x1 = 1.26315789473684