5X^2+10X^2=-7+X+X^2

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Solution for 5X^2+10X^2=-7+X+X^2 equation: 


Simplifying
5X2 + 10X2 = -7 + X + X2

Combine like terms: 5X2 + 10X2 = 15X2
15X2 = -7 + X + X2

Solving
15X2 = -7 + X + X2

Solving for variable 'X'.

Reorder the terms:
7 + -1X + 15X2 + -1X2 = -7 + X + X2 + 7 + -1X + -1X2

Combine like terms: 15X2 + -1X2 = 14X2
7 + -1X + 14X2 = -7 + X + X2 + 7 + -1X + -1X2

Reorder the terms:
7 + -1X + 14X2 = -7 + 7 + X + -1X + X2 + -1X2

Combine like terms: -7 + 7 = 0
7 + -1X + 14X2 = 0 + X + -1X + X2 + -1X2
7 + -1X + 14X2 = X + -1X + X2 + -1X2

Combine like terms: X + -1X = 0
7 + -1X + 14X2 = 0 + X2 + -1X2
7 + -1X + 14X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
7 + -1X + 14X2 = 0

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

Divide each side by '14'.
0.5 + -0.07142857143X + X2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.07142857143X + -0.5 + X2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.07142857143X + X2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.07142857143X + X2 = 0 + -0.5
-0.07142857143X + X2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.07142857143X + X2 = -0.5

The X term is -0.07142857143X.  Take half its coefficient (-0.03571428572).
Square it (0.001275510204) and add it to both sides.

Add '0.001275510204' to each side of the equation.
-0.07142857143X + 0.001275510204 + X2 = -0.5 + 0.001275510204

Reorder the terms:
0.001275510204 + -0.07142857143X + X2 = -0.5 + 0.001275510204

Combine like terms: -0.5 + 0.001275510204 = -0.498724489796
0.001275510204 + -0.07142857143X + X2 = -0.498724489796

Factor a perfect square on the left side:
(X + -0.03571428572)(X + -0.03571428572) = -0.498724489796

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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