x*x+32x+273=0

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Solution for x*x+32x+273=0 equation:


Simplifying
x * x + 32x + 273 = 0

Multiply x * x
x2 + 32x + 273 = 0

Reorder the terms:
273 + 32x + x2 = 0

Solving
273 + 32x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-273' to each side of the equation.
273 + 32x + -273 + x2 = 0 + -273

Reorder the terms:
273 + -273 + 32x + x2 = 0 + -273

Combine like terms: 273 + -273 = 0
0 + 32x + x2 = 0 + -273
32x + x2 = 0 + -273

Combine like terms: 0 + -273 = -273
32x + x2 = -273

The x term is 32x.  Take half its coefficient (16).
Square it (256) and add it to both sides.

Add '256' to each side of the equation.
32x + 256 + x2 = -273 + 256

Reorder the terms:
256 + 32x + x2 = -273 + 256

Combine like terms: -273 + 256 = -17
256 + 32x + x2 = -17

Factor a perfect square on the left side:
(x + 16)(x + 16) = -17

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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