19x+9x=15x(1+y)

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Solution for 19x+9x=15x(1+y) equation: 


Simplifying
19x + 9x = 15x(1 + y)

Combine like terms: 19x + 9x = 28x
28x = 15x(1 + y)
28x = (1 * 15x + y * 15x)
28x = (15x + 15xy)

Solving
28x = 15x + 15xy

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
28x + -15x = 15x + -15x + 15xy

Combine like terms: 28x + -15x = 13x
13x = 15x + -15x + 15xy

Combine like terms: 15x + -15x = 0
13x = 0 + 15xy
13x = 15xy

Add '-15xy' to each side of the equation.
13x + -15xy = 15xy + -15xy

Combine like terms: 15xy + -15xy = 0
13x + -15xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + -15y) = 0


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 '(13 + -15y)' equal to zero and attempt to solve:

Simplifying
13 + -15y = 0

Solving
13 + -15y = 0

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

Add '-13' to each side of the equation.
13 + -13 + -15y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -15y = 0 + -13
-15y = 0 + -13

Combine like terms: 0 + -13 = -13
-15y = -13

Add '15y' to each side of the equation.
-15y + 15y = -13 + 15y

Combine like terms: -15y + 15y = 0
0 = -13 + 15y

Simplifying
0 = -13 + 15y

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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