x^2-3x+60=0

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Solution for x^2-3x+60=0 equation:


Simplifying
x2 + -3x + 60 = 0

Reorder the terms:
60 + -3x + x2 = 0

Solving
60 + -3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -3x + -60 + x2 = 0 + -60

Reorder the terms:
60 + -60 + -3x + x2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -3x + x2 = 0 + -60
-3x + x2 = 0 + -60

Combine like terms: 0 + -60 = -60
-3x + x2 = -60

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -60 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -60 + 2.25

Combine like terms: -60 + 2.25 = -57.75
2.25 + -3x + x2 = -57.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -57.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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