7X(6X+4Y)=

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Solution for 7X(6X+4Y)= equation: 


Simplifying
7X(6X + 4Y) = 0
(6X * 7X + 4Y * 7X) = 0

Reorder the terms:
(28XY + 42X2) = 0
(28XY + 42X2) = 0

Solving
28XY + 42X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '14X'.
14X(2Y + 3X) = 0

Ignore the factor 14.

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 '(2Y + 3X)' equal to zero and attempt to solve:

Simplifying
2Y + 3X = 0

Reorder the terms:
3X + 2Y = 0

Solving
3X + 2Y = 0

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

Add '-2Y' to each side of the equation.
3X + 2Y + -2Y = 0 + -2Y

Combine like terms: 2Y + -2Y = 0
3X + 0 = 0 + -2Y
3X = 0 + -2Y
Remove the zero:
3X = -2Y

Divide each side by '3'.
X = -0.6666666667Y

Simplifying
X = -0.6666666667Y
Solution
X = {0, -0.6666666667Y}

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