2x^2+9=-4x

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Solution for 2x^2+9=-4x equation:


Simplifying
2x2 + 9 = -4x

Reorder the terms:
9 + 2x2 = -4x

Solving
9 + 2x2 = -4x

Solving for variable 'x'.

Reorder the terms:
9 + 4x + 2x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
9 + 4x + 2x2 = 0

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

Divide each side by '2'.
4.5 + 2x + x2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + 2x + -4.5 + x2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + 2x + x2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 2x + x2 = 0 + -4.5
2x + x2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
2x + x2 = -4.5

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -4.5 + 1

Reorder the terms:
1 + 2x + x2 = -4.5 + 1

Combine like terms: -4.5 + 1 = -3.5
1 + 2x + x2 = -3.5

Factor a perfect square on the left side:
(x + 1)(x + 1) = -3.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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