a^2-4a+16=0

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Solution for a^2-4a+16=0 equation: 


Simplifying
a2 + -4a + 16 = 0

Reorder the terms:
16 + -4a + a2 = 0

Solving
16 + -4a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -4a + -16 + a2 = 0 + -16

Reorder the terms:
16 + -16 + -4a + a2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4a + a2 = 0 + -16
-4a + a2 = 0 + -16

Combine like terms: 0 + -16 = -16
-4a + a2 = -16

The a term is -4a.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4a + 4 + a2 = -16 + 4

Reorder the terms:
4 + -4a + a2 = -16 + 4

Combine like terms: -16 + 4 = -12
4 + -4a + a2 = -12

Factor a perfect square on the left side:
(a + -2)(a + -2) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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