5x+17=2x-6x^2

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Solution for 5x+17=2x-6x^2 equation:


Simplifying
5x + 17 = 2x + -6x2

Reorder the terms:
17 + 5x = 2x + -6x2

Solving
17 + 5x = 2x + -6x2

Solving for variable 'x'.

Combine like terms: 5x + -2x = 3x
17 + 3x + 6x2 = 2x + -6x2 + -2x + 6x2

Reorder the terms:
17 + 3x + 6x2 = 2x + -2x + -6x2 + 6x2

Combine like terms: 2x + -2x = 0
17 + 3x + 6x2 = 0 + -6x2 + 6x2
17 + 3x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
17 + 3x + 6x2 = 0

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

Divide each side by '6'.
2.833333333 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-2.833333333' to each side of the equation.
2.833333333 + 0.5x + -2.833333333 + x2 = 0 + -2.833333333

Reorder the terms:
2.833333333 + -2.833333333 + 0.5x + x2 = 0 + -2.833333333

Combine like terms: 2.833333333 + -2.833333333 = 0.000000000
0.000000000 + 0.5x + x2 = 0 + -2.833333333
0.5x + x2 = 0 + -2.833333333

Combine like terms: 0 + -2.833333333 = -2.833333333
0.5x + x2 = -2.833333333

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -2.833333333 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -2.833333333 + 0.0625

Combine like terms: -2.833333333 + 0.0625 = -2.770833333
0.0625 + 0.5x + x2 = -2.770833333

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -2.770833333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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