x^2-16x+84=0

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Solution for x^2-16x+84=0 equation:


Simplifying
x2 + -16x + 84 = 0

Reorder the terms:
84 + -16x + x2 = 0

Solving
84 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-84' to each side of the equation.
84 + -16x + -84 + x2 = 0 + -84

Reorder the terms:
84 + -84 + -16x + x2 = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -16x + x2 = 0 + -84
-16x + x2 = 0 + -84

Combine like terms: 0 + -84 = -84
-16x + x2 = -84

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 = -84 + 64

Reorder the terms:
64 + -16x + x2 = -84 + 64

Combine like terms: -84 + 64 = -20
64 + -16x + x2 = -20

Factor a perfect square on the left side:
(x + -8)(x + -8) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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