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

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Solution for 2x(3x-7y+4)=0 equation: 


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

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

Reorder the terms:
(8x + -14xy + 6x2) = 0
(8x + -14xy + 6x2) = 0

Solving
8x + -14xy + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4 + -7y + 3x) = 0

Ignore the factor 2.

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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