Let's first simplify the left side of the equation:
10 - x(5 - 6 - x)10 - x(-1 - x)10 + x + x^2
Next, let's simplify the right side of the equation:
x(x + 3) - 4xx^2 + 3x - 4xx^2 - x
Now we can set the simplified left side equal to the simplified right side:
10 + x + x^2 = x^2 - x
Rearranging the terms, we get:
10 + 2x = 0
Subtracting 10 from both sides gives us:
2x = -10
Dividing by 2 gives the solution:
x = -5
Therefore, the solution to the equation is x = -5.
Let's first simplify the left side of the equation:
10 - x(5 - 6 - x)
10 - x(-1 - x)
10 + x + x^2
Next, let's simplify the right side of the equation:
x(x + 3) - 4x
x^2 + 3x - 4x
x^2 - x
Now we can set the simplified left side equal to the simplified right side:
10 + x + x^2 = x^2 - x
Rearranging the terms, we get:
10 + 2x = 0
Subtracting 10 from both sides gives us:
2x = -10
Dividing by 2 gives the solution:
x = -5
Therefore, the solution to the equation is x = -5.