0=x^2-60x+7200

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Solution for 0=x^2-60x+7200 equation:


Simplifying
0 = x2 + -60x + 7200

Reorder the terms:
0 = 7200 + -60x + x2

Solving
0 = 7200 + -60x + x2

Solving for variable 'x'.

Combine like terms: 0 + -7200 = -7200
-7200 + 60x + -1x2 = 7200 + -60x + x2 + -7200 + 60x + -1x2

Reorder the terms:
-7200 + 60x + -1x2 = 7200 + -7200 + -60x + 60x + x2 + -1x2

Combine like terms: 7200 + -7200 = 0
-7200 + 60x + -1x2 = 0 + -60x + 60x + x2 + -1x2
-7200 + 60x + -1x2 = -60x + 60x + x2 + -1x2

Combine like terms: -60x + 60x = 0
-7200 + 60x + -1x2 = 0 + x2 + -1x2
-7200 + 60x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7200 + 60x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
7200 + -60x + x2 = 0

Move the constant term to the right:

Add '-7200' to each side of the equation.
7200 + -60x + -7200 + x2 = 0 + -7200

Reorder the terms:
7200 + -7200 + -60x + x2 = 0 + -7200

Combine like terms: 7200 + -7200 = 0
0 + -60x + x2 = 0 + -7200
-60x + x2 = 0 + -7200

Combine like terms: 0 + -7200 = -7200
-60x + x2 = -7200

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 = -7200 + 900

Reorder the terms:
900 + -60x + x2 = -7200 + 900

Combine like terms: -7200 + 900 = -6300
900 + -60x + x2 = -6300

Factor a perfect square on the left side:
(x + -30)(x + -30) = -6300

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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