x^2+10x+100=0

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Solution for x^2+10x+100=0 equation:


Simplifying
x2 + 10x + 100 = 0

Reorder the terms:
100 + 10x + x2 = 0

Solving
100 + 10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + 10x + -100 + x2 = 0 + -100

Reorder the terms:
100 + -100 + 10x + x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + 10x + x2 = 0 + -100
10x + x2 = 0 + -100

Combine like terms: 0 + -100 = -100
10x + x2 = -100

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 = -100 + 25

Reorder the terms:
25 + 10x + x2 = -100 + 25

Combine like terms: -100 + 25 = -75
25 + 10x + x2 = -75

Factor a perfect square on the left side:
(x + 5)(x + 5) = -75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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