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

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


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

Reorder the terms:
2x(7 + 3x) + -4x = 0
(7 * 2x + 3x * 2x) + -4x = 0
(14x + 6x2) + -4x = 0

Reorder the terms:
14x + -4x + 6x2 = 0

Combine like terms: 14x + -4x = 10x
10x + 6x2 = 0

Solving
10x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(5 + 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 '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {0, -1.666666667}

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