3x(4y-2x)+4x(4x+7y)=

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Solution for 3x(4y-2x)+4x(4x+7y)= equation: 


Simplifying
3x(4y + -2x) + 4x(4x + 7y) = 0

Reorder the terms:
3x(-2x + 4y) + 4x(4x + 7y) = 0
(-2x * 3x + 4y * 3x) + 4x(4x + 7y) = 0

Reorder the terms:
(12xy + -6x2) + 4x(4x + 7y) = 0
(12xy + -6x2) + 4x(4x + 7y) = 0
12xy + -6x2 + (4x * 4x + 7y * 4x) = 0

Reorder the terms:
12xy + -6x2 + (28xy + 16x2) = 0
12xy + -6x2 + (28xy + 16x2) = 0

Reorder the terms:
12xy + 28xy + -6x2 + 16x2 = 0

Combine like terms: 12xy + 28xy = 40xy
40xy + -6x2 + 16x2 = 0

Combine like terms: -6x2 + 16x2 = 10x2
40xy + 10x2 = 0

Solving
40xy + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(4y + x) = 0

Ignore the factor 10.

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 '(4y + x)' equal to zero and attempt to solve:

Simplifying
4y + x = 0

Reorder the terms:
x + 4y = 0

Solving
x + 4y = 0

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

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

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

Simplifying
x = -4y
Solution
x = {0, -4y}

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