x^2-16x+69=0

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Solution for x^2-16x+69=0 equation:


Simplifying
x2 + -16x + 69 = 0

Reorder the terms:
69 + -16x + x2 = 0

Solving
69 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-69' to each side of the equation.
69 + -16x + -69 + x2 = 0 + -69

Reorder the terms:
69 + -69 + -16x + x2 = 0 + -69

Combine like terms: 69 + -69 = 0
0 + -16x + x2 = 0 + -69
-16x + x2 = 0 + -69

Combine like terms: 0 + -69 = -69
-16x + x2 = -69

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 = -69 + 64

Reorder the terms:
64 + -16x + x2 = -69 + 64

Combine like terms: -69 + 64 = -5
64 + -16x + x2 = -5

Factor a perfect square on the left side:
(x + -8)(x + -8) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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