x^2+16x+100=0

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Solution for x^2+16x+100=0 equation:


Simplifying
x2 + 16x + 100 = 0

Reorder the terms:
100 + 16x + x2 = 0

Solving
100 + 16x + 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 + 16x + -100 + x2 = 0 + -100

Reorder the terms:
100 + -100 + 16x + x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + 16x + x2 = 0 + -100
16x + x2 = 0 + -100

Combine like terms: 0 + -100 = -100
16x + x2 = -100

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = -100 + 64

Reorder the terms:
64 + 16x + x2 = -100 + 64

Combine like terms: -100 + 64 = -36
64 + 16x + x2 = -36

Factor a perfect square on the left side:
(x + 8)(x + 8) = -36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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