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

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


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

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

Reorder the terms:
6x + 4x + 3x2 = 0

Combine like terms: 6x + 4x = 10x
10x + 3x2 = 0

Solving
10x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + 3x) = 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 '(10 + 3x)' equal to zero and attempt to solve:

Simplifying
10 + 3x = 0

Solving
10 + 3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0 + -10
3x = 0 + -10

Combine like terms: 0 + -10 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333
Solution
x = {0, -3.333333333}

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