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8x(1+2x)-(4x+3)(4x-3)=2x

8x(1+2x)-(4x+3)(4x-3)=2x equation

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Numerical solution:

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The solution

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8*x*(1 + 2*x) - (4*x + 3)*(4*x - 3) = 2*x
$$8 x \left(2 x + 1\right) - \left(4 x - 3\right) \left(4 x + 3\right) = 2 x$$
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
The graph
Rapid solution [src]
x1 = -3/2
$$x_{1} = - \frac{3}{2}$$
x1 = -3/2
Sum and product of roots [src]
sum
-3/2
$$- \frac{3}{2}$$
=
-3/2
$$- \frac{3}{2}$$
product
-3/2
$$- \frac{3}{2}$$
=
-3/2
$$- \frac{3}{2}$$
-3/2
Numerical answer [src]
x1 = -1.5
x1 = -1.5
The graph
8x(1+2x)-(4x+3)(4x-3)=2x equation