2x^2+x+6=-9

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Solution for 2x^2+x+6=-9 equation:


Simplifying
2x2 + x + 6 = -9

Reorder the terms:
6 + x + 2x2 = -9

Solving
6 + x + 2x2 = -9

Solving for variable 'x'.

Reorder the terms:
6 + 9 + x + 2x2 = -9 + 9

Combine like terms: 6 + 9 = 15
15 + x + 2x2 = -9 + 9

Combine like terms: -9 + 9 = 0
15 + x + 2x2 = 0

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

Divide each side by '2'.
7.5 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + 0.5x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + 0.5x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 0.5x + x2 = 0 + -7.5
0.5x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
0.5x + x2 = -7.5

The x term is x.  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.
0.5x + 0.25 + x2 = -7.5 + 0.25

Reorder the terms:
0.25 + 0.5x + x2 = -7.5 + 0.25

Combine like terms: -7.5 + 0.25 = -7.25
0.25 + 0.5x + x2 = -7.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -7.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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