x^2+16x+1536=0

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Solution for x^2+16x+1536=0 equation:


Simplifying
x2 + 16x + 1536 = 0

Reorder the terms:
1536 + 16x + x2 = 0

Solving
1536 + 16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1536' to each side of the equation.
1536 + 16x + -1536 + x2 = 0 + -1536

Reorder the terms:
1536 + -1536 + 16x + x2 = 0 + -1536

Combine like terms: 1536 + -1536 = 0
0 + 16x + x2 = 0 + -1536
16x + x2 = 0 + -1536

Combine like terms: 0 + -1536 = -1536
16x + x2 = -1536

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 = -1536 + 64

Reorder the terms:
64 + 16x + x2 = -1536 + 64

Combine like terms: -1536 + 64 = -1472
64 + 16x + x2 = -1472

Factor a perfect square on the left side:
(x + 8)(x + 8) = -1472

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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