x^2+2x+85=0

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Solution for x^2+2x+85=0 equation:


Simplifying
x2 + 2x + 85 = 0

Reorder the terms:
85 + 2x + x2 = 0

Solving
85 + 2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-85' to each side of the equation.
85 + 2x + -85 + x2 = 0 + -85

Reorder the terms:
85 + -85 + 2x + x2 = 0 + -85

Combine like terms: 85 + -85 = 0
0 + 2x + x2 = 0 + -85
2x + x2 = 0 + -85

Combine like terms: 0 + -85 = -85
2x + x2 = -85

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 = -85 + 1

Reorder the terms:
1 + 2x + x2 = -85 + 1

Combine like terms: -85 + 1 = -84
1 + 2x + x2 = -84

Factor a perfect square on the left side:
(x + 1)(x + 1) = -84

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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