x^2-10x+400=0

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Solution for x^2-10x+400=0 equation:


Simplifying
x2 + -10x + 400 = 0

Reorder the terms:
400 + -10x + x2 = 0

Solving
400 + -10x + 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 + -10x + -400 + x2 = 0 + -400

Reorder the terms:
400 + -400 + -10x + x2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -10x + x2 = 0 + -400
-10x + x2 = 0 + -400

Combine like terms: 0 + -400 = -400
-10x + x2 = -400

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -400 + 25

Reorder the terms:
25 + -10x + x2 = -400 + 25

Combine like terms: -400 + 25 = -375
25 + -10x + x2 = -375

Factor a perfect square on the left side:
(x + -5)(x + -5) = -375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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