12-(3x²+5x)+(-8x+3x²)=0 equation
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The solution
Detail solution
Given the linear equation:
12-(3*x^2+5*x)+(-8*x+3*x^2) = 0
Expand brackets in the left part
12-3*x-2-5*x+-8*x+3*x+2 = 0
Looking for similar summands in the left part:
12 - 13*x = 0
Move free summands (without x)
from left part to right part, we given:
$$- 13 x = -12$$
Divide both parts of the equation by -13
x = -12 / (-13)
We get the answer: x = 12/13
Sum and product of roots
[src]
$$\frac{12}{13}$$
$$\frac{12}{13}$$
$$\frac{12}{13}$$
$$\frac{12}{13}$$
$$x_{1} = \frac{12}{13}$$