(x-2x^2-5)+(2x-x^2)=

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Solution for (x-2x^2-5)+(2x-x^2)= equation:


Simplifying
(x + -2x2 + -5) + (2x + -1x2) = 0

Reorder the terms:
(-5 + x + -2x2) + (2x + -1x2) = 0

Remove parenthesis around (-5 + x + -2x2)
-5 + x + -2x2 + (2x + -1x2) = 0

Remove parenthesis around (2x + -1x2)
-5 + x + -2x2 + 2x + -1x2 = 0

Reorder the terms:
-5 + x + 2x + -2x2 + -1x2 = 0

Combine like terms: x + 2x = 3x
-5 + 3x + -2x2 + -1x2 = 0

Combine like terms: -2x2 + -1x2 = -3x2
-5 + 3x + -3x2 = 0

Solving
-5 + 3x + -3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
1.666666667 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -1x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -1x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -1x + x2 = 0 + -1.666666667
-1x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-1x + x2 = -1.666666667

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.666666667 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.666666667 + 0.25

Combine like terms: -1.666666667 + 0.25 = -1.416666667
0.25 + -1x + x2 = -1.416666667

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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