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

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


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

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

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

Solving
-16x + 28xy + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-4 + 7y + -3x) = 0

Ignore the factor 4.

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 '(-4 + 7y + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + 7y + -3x = 0

Reorder the terms:
-4 + -3x + 7y = 0

Solving
-4 + -3x + 7y = 0

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

Add '4' to each side of the equation.
-4 + -3x + 4 + 7y = 0 + 4

Reorder the terms:
-4 + 4 + -3x + 7y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x + 7y = 0 + 4
-3x + 7y = 0 + 4

Combine like terms: 0 + 4 = 4
-3x + 7y = 4

Add '-7y' to each side of the equation.
-3x + 7y + -7y = 4 + -7y

Combine like terms: 7y + -7y = 0
-3x + 0 = 4 + -7y
-3x = 4 + -7y

Divide each side by '-3'.
x = -1.333333333 + 2.333333333y

Simplifying
x = -1.333333333 + 2.333333333y
Solution
x = {0, -1.333333333 + 2.333333333y}

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