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(3*x-2)*(3*x+4)=3(x+1)*(3*x+1) equation

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Numerical solution:

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The solution

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(3*x - 2)*(3*x + 4) = 3*(x + 1)*(3*x + 1)
$$\left(3 x - 2\right) \left(3 x + 4\right) = 3 \left(x + 1\right) \left(3 x + 1\right)$$
Detail solution
Given the equation:
(3*x-2)*(3*x+4) = 3*(x+1)*(3*x+1)

Expand expressions:
-8 + 6*x + 9*x^2 = 3*(x+1)*(3*x+1)

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

Reducing, you get:
-11 - 6*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 6 x = 11$$
Divide both parts of the equation by -6
x = 11 / (-6)

We get the answer: x = -11/6
The graph
Rapid solution [src]
x1 = -11/6
$$x_{1} = - \frac{11}{6}$$
x1 = -11/6
Sum and product of roots [src]
sum
-11/6
$$- \frac{11}{6}$$
=
-11/6
$$- \frac{11}{6}$$
product
-11/6
$$- \frac{11}{6}$$
=
-11/6
$$- \frac{11}{6}$$
-11/6
Numerical answer [src]
x1 = -1.83333333333333
x1 = -1.83333333333333