12-(4-x)^2=x*(3-x) equation
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The solution
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
Sum and product of roots
[src]
$$\frac{4}{5}$$
$$\frac{4}{5}$$
$$\frac{4}{5}$$
$$\frac{4}{5}$$