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

12-(4-x)^2=x*(3-x) equation

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Numerical solution:

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The solution

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12 - (4 - x)  = x*(3 - x)
$$12 - \left(4 - x\right)^{2} = x \left(3 - x\right)$$
Detail solution
Given the equation:
12-(4-x)^2 = x*(3-x)

Expand expressions:
12 - 16 - x^2 + 8*x = x*(3-x)

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

Reducing, you get:
-4 + 5*x = 0

Move free summands (without x)
from left part to right part, we given:
$$5 x = 4$$
Divide both parts of the equation by 5
x = 4 / (5)

We get the answer: x = 4/5
The graph
Sum and product of roots [src]
sum
4/5
$$\frac{4}{5}$$
=
4/5
$$\frac{4}{5}$$
product
4/5
$$\frac{4}{5}$$
=
4/5
$$\frac{4}{5}$$
4/5
Rapid solution [src]
x1 = 4/5
$$x_{1} = \frac{4}{5}$$
x1 = 4/5
Numerical answer [src]
x1 = 0.8
x1 = 0.8
The graph
12-(4-x)^2=x*(3-x) equation