(3x-5)x-x=x-2(x^2+x)-x^2-14

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Solution for (3x-5)x-x=x-2(x^2+x)-x^2-14 equation: 


Simplifying
(3x + -5) * x + -1x = x + -2(x2 + x) + -1x2 + -14

Reorder the terms:
(-5 + 3x) * x + -1x = x + -2(x2 + x) + -1x2 + -14

Reorder the terms for easier multiplication:
x(-5 + 3x) + -1x = x + -2(x2 + x) + -1x2 + -14
(-5 * x + 3x * x) + -1x = x + -2(x2 + x) + -1x2 + -14
(-5x + 3x2) + -1x = x + -2(x2 + x) + -1x2 + -14

Reorder the terms:
-5x + -1x + 3x2 = x + -2(x2 + x) + -1x2 + -14

Combine like terms: -5x + -1x = -6x
-6x + 3x2 = x + -2(x2 + x) + -1x2 + -14

Reorder the terms:
-6x + 3x2 = x + -2(x + x2) + -1x2 + -14
-6x + 3x2 = x + (x * -2 + x2 * -2) + -1x2 + -14
-6x + 3x2 = x + (-2x + -2x2) + -1x2 + -14

Reorder the terms:
-6x + 3x2 = -14 + x + -2x + -2x2 + -1x2

Combine like terms: x + -2x = -1x
-6x + 3x2 = -14 + -1x + -2x2 + -1x2

Combine like terms: -2x2 + -1x2 = -3x2
-6x + 3x2 = -14 + -1x + -3x2

Solving
-6x + 3x2 = -14 + -1x + -3x2

Solving for variable 'x'.

Reorder the terms:
14 + -6x + x + 3x2 + 3x2 = -14 + -1x + -3x2 + 14 + x + 3x2

Combine like terms: -6x + x = -5x
14 + -5x + 3x2 + 3x2 = -14 + -1x + -3x2 + 14 + x + 3x2

Combine like terms: 3x2 + 3x2 = 6x2
14 + -5x + 6x2 = -14 + -1x + -3x2 + 14 + x + 3x2

Reorder the terms:
14 + -5x + 6x2 = -14 + 14 + -1x + x + -3x2 + 3x2

Combine like terms: -14 + 14 = 0
14 + -5x + 6x2 = 0 + -1x + x + -3x2 + 3x2
14 + -5x + 6x2 = -1x + x + -3x2 + 3x2

Combine like terms: -1x + x = 0
14 + -5x + 6x2 = 0 + -3x2 + 3x2
14 + -5x + 6x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
14 + -5x + 6x2 = 0

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

Divide each side by '6'.
2.333333333 + -0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -0.8333333333x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -0.8333333333x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -0.8333333333x + x2 = 0 + -2.333333333
-0.8333333333x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-0.8333333333x + x2 = -2.333333333

The x term is -0.8333333333x.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333x + 0.1736111111 + x2 = -2.333333333 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333x + x2 = -2.333333333 + 0.1736111111

Combine like terms: -2.333333333 + 0.1736111111 = -2.1597222219
0.1736111111 + -0.8333333333x + x2 = -2.1597222219

Factor a perfect square on the left side:
(x + -0.4166666667)(x + -0.4166666667) = -2.1597222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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