4(xy)=(4x)(4x)

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Solution for 4(xy)=(4x)(4x) equation: 


Simplifying
4(xy) = (4x)(4x)

Remove parenthesis around (4x)
4xy = 4x(4x)

Remove parenthesis around (4x)
4xy = 4x * 4x

Reorder the terms for easier multiplication:
4xy = 4 * 4x * x

Multiply 4 * 4
4xy = 16x * x

Multiply x * x
4xy = 16x2

Solving
4xy = 16x2

Solving for variable 'x'.

Combine like terms: 16x2 + -16x2 = 0
4xy + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(y + -4x) = 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 '(y + -4x)' equal to zero and attempt to solve:

Simplifying
y + -4x = 0

Reorder the terms:
-4x + y = 0

Solving
-4x + y = 0

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

Add '-1y' to each side of the equation.
-4x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-4x + 0 = 0 + -1y
-4x = 0 + -1y
Remove the zero:
-4x = -1y

Divide each side by '-4'.
x = 0.25y

Simplifying
x = 0.25y
Solution
x = {0, 0.25y}

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