4x^2+17=6x-2x^2

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Solution for 4x^2+17=6x-2x^2 equation: 


Simplifying
4x2 + 17 = 6x + -2x2

Reorder the terms:
17 + 4x2 = 6x + -2x2

Solving
17 + 4x2 = 6x + -2x2

Solving for variable 'x'.

Reorder the terms:
17 + -6x + 4x2 + 2x2 = 6x + -2x2 + -6x + 2x2

Combine like terms: 4x2 + 2x2 = 6x2
17 + -6x + 6x2 = 6x + -2x2 + -6x + 2x2

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

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

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

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

Divide each side by '6'.
2.833333333 + -1x + x2 = 0

Move the constant term to the right:

Add '-2.833333333' to each side of the equation.
2.833333333 + -1x + -2.833333333 + x2 = 0 + -2.833333333

Reorder the terms:
2.833333333 + -2.833333333 + -1x + x2 = 0 + -2.833333333

Combine like terms: 2.833333333 + -2.833333333 = 0.000000000
0.000000000 + -1x + x2 = 0 + -2.833333333
-1x + x2 = 0 + -2.833333333

Combine like terms: 0 + -2.833333333 = -2.833333333
-1x + x2 = -2.833333333

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -2.833333333 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2.833333333 + 0.25

Combine like terms: -2.833333333 + 0.25 = -2.583333333
0.25 + -1x + x2 = -2.583333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2.583333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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