x^2+9x+50=0

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Solution for x^2+9x+50=0 equation:


Simplifying
x2 + 9x + 50 = 0

Reorder the terms:
50 + 9x + x2 = 0

Solving
50 + 9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + 9x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + 9x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 9x + x2 = 0 + -50
9x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
9x + x2 = -50

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -50 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -50 + 20.25

Combine like terms: -50 + 20.25 = -29.75
20.25 + 9x + x2 = -29.75

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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