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(2/3x+3/4)*(2/3x+3/4)-14.75=(1/3x-2)*((1+1/3)x+8) equation

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Numerical solution:

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The solution

You have entered [src] 
/2*x   3\ /2*x   3\   59   /x    \                  
|--- + -|*|--- + -| - -- = |- - 2|*((1/3 + 1)*x + 8)
\ 3    4/ \ 3    4/   4    \3    /
$$\left(\frac{2 x}{3} + \frac{3}{4}\right) \left(\frac{2 x}{3} + \frac{3}{4}\right) - \frac{59}{4} = \left(\frac{x}{3} - 2\right) \left(x \left(\frac{1}{3} + 1\right) + 8\right)$$
Simplify
Detail solution
Given the equation:
(2/3*x+3/4)*(2/3*x+3/4)-(59/4) = (1/3*x-2)*((1+1/3)*x+8)

Expand expressions:
9/16 + x + 4*x^2/9 - 59/4 = (1/3*x-2)*((1+1/3)*x+8)

(2/3*x+3/4)*(2/3*x+3/4)-(59/4) = -16 + 4*x^2/9

Reducing, you get:
29/16 + x = 0

Move free summands (without x)
from left part to right part, we given:
$$x = - \frac{29}{16}$$
We get the answer: x = -29/16
The graph
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
-29 
----
 16
$$- \frac{29}{16}$$ 
=
-29 
----
 16
$$- \frac{29}{16}$$ 
product
-29 
----
 16
$$- \frac{29}{16}$$ 
=
-29 
----
 16
$$- \frac{29}{16}$$ 
-29/16
Rapid solution [src] 
     -29 
x1 = ----
      16
$$x_{1} = - \frac{29}{16}$$ 
x1 = -29/16
Numerical answer [src] 
x1 = -1.8125
x1 = -1.8125
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