(7y+2x)*12x=

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Solution for (7y+2x)*12x= equation: 


Simplifying
(7y + 2x) * 12x = 0

Reorder the terms:
(2x + 7y) * 12x = 0

Reorder the terms for easier multiplication:
12x(2x + 7y) = 0
(2x * 12x + 7y * 12x) = 0

Reorder the terms:
(84xy + 24x2) = 0
(84xy + 24x2) = 0

Solving
84xy + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(7y + 2x) = 0

Ignore the factor 12.

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 + 2x)' equal to zero and attempt to solve:

Simplifying
7y + 2x = 0

Reorder the terms:
2x + 7y = 0

Solving
2x + 7y = 0

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

Add '-7y' to each side of the equation.
2x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
2x + 0 = 0 + -7y
2x = 0 + -7y
Remove the zero:
2x = -7y

Divide each side by '2'.
x = -3.5y

Simplifying
x = -3.5y
Solution
x = {0, -3.5y}

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