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

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


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

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

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

Solving
-2x + 2x2 = -2 + -5x2

Solving for variable 'x'.

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

Combine like terms: 2x2 + 5x2 = 7x2
2 + -2x + 7x2 = -2 + -5x2 + 2 + 5x2

Reorder the terms:
2 + -2x + 7x2 = -2 + 2 + -5x2 + 5x2

Combine like terms: -2 + 2 = 0
2 + -2x + 7x2 = 0 + -5x2 + 5x2
2 + -2x + 7x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
2 + -2x + 7x2 = 0

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

Divide each side by '7'.
0.2857142857 + -0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.2857142857x + -0.2857142857 + x2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.2857142857x + x2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.2857142857x + x2 = 0 + -0.2857142857
-0.2857142857x + x2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.2857142857x + x2 = -0.2857142857

The x term is -0.2857142857x.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857x + 0.02040816328 + x2 = -0.2857142857 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857x + x2 = -0.2857142857 + 0.02040816328

Combine like terms: -0.2857142857 + 0.02040816328 = -0.26530612242
0.02040816328 + -0.2857142857x + x2 = -0.26530612242

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = -0.26530612242

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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