x^2-40x+416=0

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Solution for x^2-40x+416=0 equation:


Simplifying
x2 + -40x + 416 = 0

Reorder the terms:
416 + -40x + x2 = 0

Solving
416 + -40x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-416' to each side of the equation.
416 + -40x + -416 + x2 = 0 + -416

Reorder the terms:
416 + -416 + -40x + x2 = 0 + -416

Combine like terms: 416 + -416 = 0
0 + -40x + x2 = 0 + -416
-40x + x2 = 0 + -416

Combine like terms: 0 + -416 = -416
-40x + x2 = -416

The x term is -40x.  Take half its coefficient (-20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
-40x + 400 + x2 = -416 + 400

Reorder the terms:
400 + -40x + x2 = -416 + 400

Combine like terms: -416 + 400 = -16
400 + -40x + x2 = -16

Factor a perfect square on the left side:
(x + -20)(x + -20) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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