2(x^2-x)=-5x^2-7

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Solution for 2(x^2-x)=-5x^2-7 equation: 


Simplifying
2(x2 + -1x) = -5x2 + -7

Reorder the terms:
2(-1x + x2) = -5x2 + -7
(-1x * 2 + x2 * 2) = -5x2 + -7
(-2x + 2x2) = -5x2 + -7

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

Solving
-2x + 2x2 = -7 + -5x2

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '7'.
1 + -0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.2857142857x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.2857142857x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.2857142857x + x2 = 0 + -1
-0.2857142857x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.2857142857x + x2 = -1

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 = -1 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857x + x2 = -1 + 0.02040816328

Combine like terms: -1 + 0.02040816328 = -0.97959183672
0.02040816328 + -0.2857142857x + x2 = -0.97959183672

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = -0.97959183672

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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