x^2-34x+323=0

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Solution for x^2-34x+323=0 equation:


Simplifying
x2 + -34x + 323 = 0

Reorder the terms:
323 + -34x + x2 = 0

Solving
323 + -34x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-323' to each side of the equation.
323 + -34x + -323 + x2 = 0 + -323

Reorder the terms:
323 + -323 + -34x + x2 = 0 + -323

Combine like terms: 323 + -323 = 0
0 + -34x + x2 = 0 + -323
-34x + x2 = 0 + -323

Combine like terms: 0 + -323 = -323
-34x + x2 = -323

The x term is -34x.  Take half its coefficient (-17).
Square it (289) and add it to both sides.

Add '289' to each side of the equation.
-34x + 289 + x2 = -323 + 289

Reorder the terms:
289 + -34x + x2 = -323 + 289

Combine like terms: -323 + 289 = -34
289 + -34x + x2 = -34

Factor a perfect square on the left side:
(x + -17)(x + -17) = -34

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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