3x(45+7y)+5x(45+6y)=

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Solution for 3x(45+7y)+5x(45+6y)= equation: 


Simplifying
3x(45 + 7y) + 5x(45 + 6y) = 0
(45 * 3x + 7y * 3x) + 5x(45 + 6y) = 0
(135x + 21xy) + 5x(45 + 6y) = 0
135x + 21xy + (45 * 5x + 6y * 5x) = 0
135x + 21xy + (225x + 30xy) = 0

Reorder the terms:
135x + 225x + 21xy + 30xy = 0

Combine like terms: 135x + 225x = 360x
360x + 21xy + 30xy = 0

Combine like terms: 21xy + 30xy = 51xy
360x + 51xy = 0

Solving
360x + 51xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '3x'.
3x(120 + 17y) = 0

Ignore the factor 3.

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 '(120 + 17y)' equal to zero and attempt to solve:

Simplifying
120 + 17y = 0

Solving
120 + 17y = 0

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

Add '-120' to each side of the equation.
120 + -120 + 17y = 0 + -120

Combine like terms: 120 + -120 = 0
0 + 17y = 0 + -120
17y = 0 + -120

Combine like terms: 0 + -120 = -120
17y = -120

Add '-17y' to each side of the equation.
17y + -17y = -120 + -17y

Combine like terms: 17y + -17y = 0
0 = -120 + -17y

Simplifying
0 = -120 + -17y

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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