8x(1+2x)-(4x+3)(4x-3)=2x equation
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The solution
Detail solution
Given the equation:
8*x*(1+2*x)-(4*x+3)*(4*x-3) = 2*x
Expand expressions:
8*x + 16*x^2 - (4*x + 3)*(4*x - 3) = 2*x
8*x + 16*x^2 + 9 - 16*x^2 = 2*x
Reducing, you get:
9 + 6*x = 0
Move free summands (without x)
from left part to right part, we given:
$$6 x = -9$$
Divide both parts of the equation by 6
x = -9 / (6)
We get the answer: x = -3/2
$$x_{1} = - \frac{3}{2}$$
Sum and product of roots
[src]
$$- \frac{3}{2}$$
$$- \frac{3}{2}$$
$$- \frac{3}{2}$$
$$- \frac{3}{2}$$