-45x=5y(x)

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Solution for -45x=5y(x) equation: 


Simplifying
-45x = 5y(x)

Multiply y * x
-45x = 5xy

Solving
-45x = 5xy

Solving for variable 'x'.

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

Add '-5xy' to each side of the equation.
-45x + -5xy = 5xy + -5xy

Combine like terms: 5xy + -5xy = 0
-45x + -5xy = 0

Factor out the Greatest Common Factor (GCF), '-5x'.
-5x(9 + y) = 0

Ignore the factor -5.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(9 + y)' equal to zero and attempt to solve:

Simplifying
9 + y = 0

Solving
9 + y = 0

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

Add '-9' to each side of the equation.
9 + -9 + y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + y = 0 + -9
y = 0 + -9

Combine like terms: 0 + -9 = -9
y = -9

Add '-1y' to each side of the equation.
y + -1y = -9 + -1y

Combine like terms: y + -1y = 0
0 = -9 + -1y

Simplifying
0 = -9 + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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