x(x+5)(x+4)=

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Solution for x(x+5)(x+4)= equation: 


Simplifying
x(x + 5)(x + 4) = 0

Reorder the terms:
x(5 + x)(x + 4) = 0

Reorder the terms:
x(5 + x)(4 + x) = 0

Multiply (5 + x) * (4 + x)
x(5(4 + x) + x(4 + x)) = 0
x((4 * 5 + x * 5) + x(4 + x)) = 0
x((20 + 5x) + x(4 + x)) = 0
x(20 + 5x + (4 * x + x * x)) = 0
x(20 + 5x + (4x + x2)) = 0

Combine like terms: 5x + 4x = 9x
x(20 + 9x + x2) = 0
(20 * x + 9x * x + x2 * x) = 0
(20x + 9x2 + x3) = 0

Solving
20x + 9x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(20 + 9x + x2) = 0

Factor a trinomial.
x((5 + x)(4 + x)) = 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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Simplifying
x = -5

Subproblem 3
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
Solution
x = {0, -5, -4}

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