x^2+2x^2-14x^2+2x=1

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Solution for x^2+2x^2-14x^2+2x=1 equation:


Simplifying
x2 + 2x2 + -14x2 + 2x = 1

Reorder the terms:
2x + x2 + 2x2 + -14x2 = 1

Combine like terms: x2 + 2x2 = 3x2
2x + 3x2 + -14x2 = 1

Combine like terms: 3x2 + -14x2 = -11x2
2x + -11x2 = 1

Solving
2x + -11x2 = 1

Solving for variable 'x'.

Reorder the terms:
-1 + 2x + -11x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 2x + -11x2 = 0

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
0.09090909091 + -0.1818181818x + x2 = 0

Move the constant term to the right:

Add '-0.09090909091' to each side of the equation.
0.09090909091 + -0.1818181818x + -0.09090909091 + x2 = 0 + -0.09090909091

Reorder the terms:
0.09090909091 + -0.09090909091 + -0.1818181818x + x2 = 0 + -0.09090909091

Combine like terms: 0.09090909091 + -0.09090909091 = 0.00000000000
0.00000000000 + -0.1818181818x + x2 = 0 + -0.09090909091
-0.1818181818x + x2 = 0 + -0.09090909091

Combine like terms: 0 + -0.09090909091 = -0.09090909091
-0.1818181818x + x2 = -0.09090909091

The x term is -0.1818181818x.  Take half its coefficient (-0.0909090909).
Square it (0.008264462808) and add it to both sides.

Add '0.008264462808' to each side of the equation.
-0.1818181818x + 0.008264462808 + x2 = -0.09090909091 + 0.008264462808

Reorder the terms:
0.008264462808 + -0.1818181818x + x2 = -0.09090909091 + 0.008264462808

Combine like terms: -0.09090909091 + 0.008264462808 = -0.082644628102
0.008264462808 + -0.1818181818x + x2 = -0.082644628102

Factor a perfect square on the left side:
(x + -0.0909090909)(x + -0.0909090909) = -0.082644628102

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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