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-3x^2-5x-6=-x^2-x+(-1-2x^2)

-3x^2-5x-6=-x^2-x+(-1-2x^2) equation

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Numerical solution:

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The solution

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     2                2              2
- 3*x  - 5*x - 6 = - x  - x - 1 - 2*x 
$$- 3 x^{2} - 5 x - 6 = - 2 x^{2} - x^{2} - x - 1$$
Detail solution
Given the linear equation:
-3*x^2-5*x-6 = -x^2-x+(-1-2*x^2)

Expand brackets in the right part
-3*x^2-5*x-6 = -x^2-x+-1-2*x+2

Looking for similar summands in the right part:
-6 - 5*x - 3*x^2 = -1 - x - 3*x^2

Move free summands (without x)
from left part to right part, we given:
$$- 3 x^{2} - 5 x = - 3 x^{2} - x + 5$$
Move the summands with the unknown x
from the right part to the left part:
$$- 3 x^{2} - 4 x = - 3 x^{2} + 5$$
Divide both parts of the equation by (-4*x - 3*x^2)/x
x = 5 - 3*x^2 / ((-4*x - 3*x^2)/x)

We get the answer: x = -5/4
The graph
Sum and product of roots [src]
sum
-5/4
$$\left(- \frac{5}{4}\right)$$
=
-5/4
$$- \frac{5}{4}$$
product
-5/4
$$\left(- \frac{5}{4}\right)$$
=
-5/4
$$- \frac{5}{4}$$
Rapid solution [src]
x_1 = -5/4
$$x_{1} = - \frac{5}{4}$$
Numerical answer [src]
x1 = -1.25
x1 = -1.25
The graph
-3x^2-5x-6=-x^2-x+(-1-2x^2) equation