(x^2-40x+900)=0

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Solution for (x^2-40x+900)=0 equation:


Simplifying
(x2 + -40x + 900) = 0

Reorder the terms:
(900 + -40x + x2) = 0

Remove parenthesis around (900 + -40x + x2)
900 + -40x + x2 = 0

Solving
900 + -40x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-900' to each side of the equation.
900 + -40x + -900 + x2 = 0 + -900

Reorder the terms:
900 + -900 + -40x + x2 = 0 + -900

Combine like terms: 900 + -900 = 0
0 + -40x + x2 = 0 + -900
-40x + x2 = 0 + -900

Combine like terms: 0 + -900 = -900
-40x + x2 = -900

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 = -900 + 400

Reorder the terms:
400 + -40x + x2 = -900 + 400

Combine like terms: -900 + 400 = -500
400 + -40x + x2 = -500

Factor a perfect square on the left side:
(x + -20)(x + -20) = -500

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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