x^2-60x+1200=0

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Solution for x^2-60x+1200=0 equation:


Simplifying
x2 + -60x + 1200 = 0

Reorder the terms:
1200 + -60x + x2 = 0

Solving
1200 + -60x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1200' to each side of the equation.
1200 + -60x + -1200 + x2 = 0 + -1200

Reorder the terms:
1200 + -1200 + -60x + x2 = 0 + -1200

Combine like terms: 1200 + -1200 = 0
0 + -60x + x2 = 0 + -1200
-60x + x2 = 0 + -1200

Combine like terms: 0 + -1200 = -1200
-60x + x2 = -1200

The x term is -60x.  Take half its coefficient (-30).
Square it (900) and add it to both sides.

Add '900' to each side of the equation.
-60x + 900 + x2 = -1200 + 900

Reorder the terms:
900 + -60x + x2 = -1200 + 900

Combine like terms: -1200 + 900 = -300
900 + -60x + x2 = -300

Factor a perfect square on the left side:
(x + -30)(x + -30) = -300

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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