10x-x^2-60=0

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Solution for 10x-x^2-60=0 equation:


Simplifying
10x + -1x2 + -60 = 0

Reorder the terms:
-60 + 10x + -1x2 = 0

Solving
-60 + 10x + -1x2 = 0

Solving for variable 'x'.

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

Divide each side by '-1'.
60 + -10x + x2 = 0

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -10x + -60 + x2 = 0 + -60

Reorder the terms:
60 + -60 + -10x + x2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -10x + x2 = 0 + -60
-10x + x2 = 0 + -60

Combine like terms: 0 + -60 = -60
-10x + x2 = -60

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 = -60 + 25

Reorder the terms:
25 + -10x + x2 = -60 + 25

Combine like terms: -60 + 25 = -35
25 + -10x + x2 = -35

Factor a perfect square on the left side:
(x + -5)(x + -5) = -35

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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