x^2+2x+17+100=0

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Solution for x^2+2x+17+100=0 equation:


Simplifying
x2 + 2x + 17 + 100 = 0

Reorder the terms:
17 + 100 + 2x + x2 = 0

Combine like terms: 17 + 100 = 117
117 + 2x + x2 = 0

Solving
117 + 2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-117' to each side of the equation.
117 + 2x + -117 + x2 = 0 + -117

Reorder the terms:
117 + -117 + 2x + x2 = 0 + -117

Combine like terms: 117 + -117 = 0
0 + 2x + x2 = 0 + -117
2x + x2 = 0 + -117

Combine like terms: 0 + -117 = -117
2x + x2 = -117

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 = -117 + 1

Reorder the terms:
1 + 2x + x2 = -117 + 1

Combine like terms: -117 + 1 = -116
1 + 2x + x2 = -116

Factor a perfect square on the left side:
(x + 1)(x + 1) = -116

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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