7x(3x+7y)=

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


Simplifying
7x(3x + 7y) = 0
(3x * 7x + 7y * 7x) = 0

Reorder the terms:
(49xy + 21x2) = 0
(49xy + 21x2) = 0

Solving
49xy + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(7y + 3x) = 0

Ignore the factor 7.

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 '(7y + 3x)' equal to zero and attempt to solve:

Simplifying
7y + 3x = 0

Reorder the terms:
3x + 7y = 0

Solving
3x + 7y = 0

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

Add '-7y' to each side of the equation.
3x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
3x + 0 = 0 + -7y
3x = 0 + -7y
Remove the zero:
3x = -7y

Divide each side by '3'.
x = -2.333333333y

Simplifying
x = -2.333333333y
Solution
x = {0, -2.333333333y}

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