x^2-16x+64=-324

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Solution for x^2-16x+64=-324 equation:


Simplifying
x2 + -16x + 64 = -324

Reorder the terms:
64 + -16x + x2 = -324

Solving
64 + -16x + x2 = -324

Solving for variable 'x'.

Reorder the terms:
64 + 324 + -16x + x2 = -324 + 324

Combine like terms: 64 + 324 = 388
388 + -16x + x2 = -324 + 324

Combine like terms: -324 + 324 = 0
388 + -16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-388' to each side of the equation.
388 + -16x + -388 + x2 = 0 + -388

Reorder the terms:
388 + -388 + -16x + x2 = 0 + -388

Combine like terms: 388 + -388 = 0
0 + -16x + x2 = 0 + -388
-16x + x2 = 0 + -388

Combine like terms: 0 + -388 = -388
-16x + x2 = -388

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 = -388 + 64

Reorder the terms:
64 + -16x + x2 = -388 + 64

Combine like terms: -388 + 64 = -324
64 + -16x + x2 = -324

Factor a perfect square on the left side:
(x + -8)(x + -8) = -324

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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