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

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


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

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

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

Multiply (3 + x) * (4 + x)
2x(3(4 + x) + x(4 + x)) = 0
2x((4 * 3 + x * 3) + x(4 + x)) = 0
2x((12 + 3x) + x(4 + x)) = 0
2x(12 + 3x + (4 * x + x * x)) = 0
2x(12 + 3x + (4x + x2)) = 0

Combine like terms: 3x + 4x = 7x
2x(12 + 7x + x2) = 0
(12 * 2x + 7x * 2x + x2 * 2x) = 0
(24x + 14x2 + 2x3) = 0

Solving
24x + 14x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(12 + 7x + x2) = 0

Factor a trinomial.
2x((4 + x)(3 + x)) = 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 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3
Solution
x = {0, -4, -3}

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