x^2+10x+106=0

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Solution for x^2+10x+106=0 equation:


Simplifying
x2 + 10x + 106 = 0

Reorder the terms:
106 + 10x + x2 = 0

Solving
106 + 10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-106' to each side of the equation.
106 + 10x + -106 + x2 = 0 + -106

Reorder the terms:
106 + -106 + 10x + x2 = 0 + -106

Combine like terms: 106 + -106 = 0
0 + 10x + x2 = 0 + -106
10x + x2 = 0 + -106

Combine like terms: 0 + -106 = -106
10x + x2 = -106

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -106 + 25

Reorder the terms:
25 + 10x + x2 = -106 + 25

Combine like terms: -106 + 25 = -81
25 + 10x + x2 = -81

Factor a perfect square on the left side:
(x + 5)(x + 5) = -81

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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