x^2-16x+64=-9

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Solution for x^2-16x+64=-9 equation:


Simplifying
x2 + -16x + 64 = -9

Reorder the terms:
64 + -16x + x2 = -9

Solving
64 + -16x + x2 = -9

Solving for variable 'x'.

Reorder the terms:
64 + 9 + -16x + x2 = -9 + 9

Combine like terms: 64 + 9 = 73
73 + -16x + x2 = -9 + 9

Combine like terms: -9 + 9 = 0
73 + -16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-73' to each side of the equation.
73 + -16x + -73 + x2 = 0 + -73

Reorder the terms:
73 + -73 + -16x + x2 = 0 + -73

Combine like terms: 73 + -73 = 0
0 + -16x + x2 = 0 + -73
-16x + x2 = 0 + -73

Combine like terms: 0 + -73 = -73
-16x + x2 = -73

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 = -73 + 64

Reorder the terms:
64 + -16x + x2 = -73 + 64

Combine like terms: -73 + 64 = -9
64 + -16x + x2 = -9

Factor a perfect square on the left side:
(x + -8)(x + -8) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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