(4*x-5)*(x+3)=(2*x-3)^2 equation
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The solution
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
Sum and product of roots
[src]
$$\frac{24}{19}$$
$$\frac{24}{19}$$
$$\frac{24}{19}$$
$$\frac{24}{19}$$
$$x_{1} = \frac{24}{19}$$