3x(4y+7x)=8x

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Solution for 3x(4y+7x)=8x equation: 


Simplifying
3x(4y + 7x) = 8x

Reorder the terms:
3x(7x + 4y) = 8x
(7x * 3x + 4y * 3x) = 8x

Reorder the terms:
(12xy + 21x2) = 8x
(12xy + 21x2) = 8x

Solving
12xy + 21x2 = 8x

Solving for variable 'x'.

Reorder the terms:
-8x + 12xy + 21x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-8x + 12xy + 21x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + 12y + 21x) = 0


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 '(-8 + 12y + 21x)' equal to zero and attempt to solve:

Simplifying
-8 + 12y + 21x = 0

Reorder the terms:
-8 + 21x + 12y = 0

Solving
-8 + 21x + 12y = 0

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

Add '8' to each side of the equation.
-8 + 21x + 8 + 12y = 0 + 8

Reorder the terms:
-8 + 8 + 21x + 12y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 21x + 12y = 0 + 8
21x + 12y = 0 + 8

Combine like terms: 0 + 8 = 8
21x + 12y = 8

Add '-12y' to each side of the equation.
21x + 12y + -12y = 8 + -12y

Combine like terms: 12y + -12y = 0
21x + 0 = 8 + -12y
21x = 8 + -12y

Divide each side by '21'.
x = 0.380952381 + -0.5714285714y

Simplifying
x = 0.380952381 + -0.5714285714y
Solution
x = {0, 0.380952381 + -0.5714285714y}

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