x^2-34x+400=0

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Solution for x^2-34x+400=0 equation:


Simplifying
x2 + -34x + 400 = 0

Reorder the terms:
400 + -34x + x2 = 0

Solving
400 + -34x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-400' to each side of the equation.
400 + -34x + -400 + x2 = 0 + -400

Reorder the terms:
400 + -400 + -34x + x2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -34x + x2 = 0 + -400
-34x + x2 = 0 + -400

Combine like terms: 0 + -400 = -400
-34x + x2 = -400

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 = -400 + 289

Reorder the terms:
289 + -34x + x2 = -400 + 289

Combine like terms: -400 + 289 = -111
289 + -34x + x2 = -111

Factor a perfect square on the left side:
(x + -17)(x + -17) = -111

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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