x^2y-7xy+60y=0

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Solution for x^2y-7xy+60y=0 equation: 


Simplifying
x2y + -7xy + 60y = 0

Reorder the terms:
-7xy + x2y + 60y = 0

Solving
-7xy + x2y + 60y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-7x + x2 + 60) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-7x + x2 + 60)' equal to zero and attempt to solve:

Simplifying
-7x + x2 + 60 = 0

Reorder the terms:
60 + -7x + x2 = 0

Solving
60 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-60' to each side of the equation.
60 + -7x + -60 + x2 = 0 + -60

Reorder the terms:
60 + -60 + -7x + x2 = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -7x + x2 = 0 + -60
-7x + x2 = 0 + -60

Combine like terms: 0 + -60 = -60
-7x + x2 = -60

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -60 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -60 + 12.25

Combine like terms: -60 + 12.25 = -47.75
12.25 + -7x + x2 = -47.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -47.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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