6x-3x(x+4)=0

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Solution for 6x-3x(x+4)=0 equation: 


Simplifying
6x + -3x(x + 4) = 0

Reorder the terms:
6x + -3x(4 + x) = 0
6x + (4 * -3x + x * -3x) = 0
6x + (-12x + -3x2) = 0

Combine like terms: 6x + -12x = -6x
-6x + -3x2 = 0

Solving
-6x + -3x2 = 0

Solving for variable 'x'.

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

Ignore the factor -3.

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0, -2}

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