4x(56+7y)=16x

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Solution for 4x(56+7y)=16x equation: 


Simplifying
4x(56 + 7y) = 16x
(56 * 4x + 7y * 4x) = 16x
(224x + 28xy) = 16x

Solving
224x + 28xy = 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
224x + -16x + 28xy = 16x + -16x

Combine like terms: 224x + -16x = 208x
208x + 28xy = 16x + -16x

Combine like terms: 16x + -16x = 0
208x + 28xy = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(52 + 7y) = 0

Ignore the factor 4.

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 '(52 + 7y)' equal to zero and attempt to solve:

Simplifying
52 + 7y = 0

Solving
52 + 7y = 0

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

Add '-52' to each side of the equation.
52 + -52 + 7y = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 7y = 0 + -52
7y = 0 + -52

Combine like terms: 0 + -52 = -52
7y = -52

Add '-7y' to each side of the equation.
7y + -7y = -52 + -7y

Combine like terms: 7y + -7y = 0
0 = -52 + -7y

Simplifying
0 = -52 + -7y

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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