x^2-32x+260=0

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Solution for x^2-32x+260=0 equation:


Simplifying
x2 + -32x + 260 = 0

Reorder the terms:
260 + -32x + x2 = 0

Solving
260 + -32x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-260' to each side of the equation.
260 + -32x + -260 + x2 = 0 + -260

Reorder the terms:
260 + -260 + -32x + x2 = 0 + -260

Combine like terms: 260 + -260 = 0
0 + -32x + x2 = 0 + -260
-32x + x2 = 0 + -260

Combine like terms: 0 + -260 = -260
-32x + x2 = -260

The x term is -32x.  Take half its coefficient (-16).
Square it (256) and add it to both sides.

Add '256' to each side of the equation.
-32x + 256 + x2 = -260 + 256

Reorder the terms:
256 + -32x + x2 = -260 + 256

Combine like terms: -260 + 256 = -4
256 + -32x + x2 = -4

Factor a perfect square on the left side:
(x + -16)(x + -16) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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