0.5x^2+4x+9=0

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Solution for 0.5x^2+4x+9=0 equation:


Simplifying
0.5x2 + 4x + 9 = 0

Reorder the terms:
9 + 4x + 0.5x2 = 0

Solving
9 + 4x + 0.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.5'.
18 + 8x + x2 = 0

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + 8x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + 8x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 8x + x2 = 0 + -18
8x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
8x + x2 = -18

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -18 + 16

Reorder the terms:
16 + 8x + x2 = -18 + 16

Combine like terms: -18 + 16 = -2
16 + 8x + x2 = -2

Factor a perfect square on the left side:
(x + 4)(x + 4) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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