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4-x/4+x=1-5^2/15 equation

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Numerical solution:

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The solution

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                 2
    x           5 
4 - - + x = 1 - --
    4           15
$$x + \left(- \frac{x}{4} + 4\right) = - \frac{5^{2}}{15} + 1$$
Detail solution
Given the linear equation:
4-x/4+x = 1-5^2/15

Looking for similar summands in the left part:
4 + 3*x/4 = 1-5^2/15

Move free summands (without x)
from left part to right part, we given:
$$\frac{3 x}{4} = - \frac{14}{3}$$
Divide both parts of the equation by 3/4
x = -14/3 / (3/4)

We get the answer: x = -56/9
The graph
Rapid solution [src]
x1 = -56/9
$$x_{1} = - \frac{56}{9}$$
x1 = -56/9
Sum and product of roots [src]
sum
-56/9
$$- \frac{56}{9}$$
=
-56/9
$$- \frac{56}{9}$$
product
-56/9
$$- \frac{56}{9}$$
=
-56/9
$$- \frac{56}{9}$$
-56/9
Numerical answer [src]
x1 = -6.22222222222222
x1 = -6.22222222222222