z^2-16z+260=0

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Solution for z^2-16z+260=0 equation:


Simplifying
z2 + -16z + 260 = 0

Reorder the terms:
260 + -16z + z2 = 0

Solving
260 + -16z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-260' to each side of the equation.
260 + -16z + -260 + z2 = 0 + -260

Reorder the terms:
260 + -260 + -16z + z2 = 0 + -260

Combine like terms: 260 + -260 = 0
0 + -16z + z2 = 0 + -260
-16z + z2 = 0 + -260

Combine like terms: 0 + -260 = -260
-16z + z2 = -260

The z term is -16z.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16z + 64 + z2 = -260 + 64

Reorder the terms:
64 + -16z + z2 = -260 + 64

Combine like terms: -260 + 64 = -196
64 + -16z + z2 = -196

Factor a perfect square on the left side:
(z + -8)(z + -8) = -196

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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