3x^2y-9xy+45y=0

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Solution for 3x^2y-9xy+45y=0 equation: 


Simplifying
3x2y + -9xy + 45y = 0

Reorder the terms:
-9xy + 3x2y + 45y = 0

Solving
-9xy + 3x2y + 45y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-3x + x2 + 15) = 0

Ignore the factor 3.

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 '(-3x + x2 + 15)' equal to zero and attempt to solve:

Simplifying
-3x + x2 + 15 = 0

Reorder the terms:
15 + -3x + x2 = 0

Solving
15 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -3x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -3x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -3x + x2 = 0 + -15
-3x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-3x + x2 = -15

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 = -15 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -15 + 2.25

Combine like terms: -15 + 2.25 = -12.75
2.25 + -3x + x2 = -12.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -12.75

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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