(x^2-9x)(x+4)=0

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Solution for (x^2-9x)(x+4)=0 equation: 


Simplifying
(x2 + -9x)(x + 4) = 0

Reorder the terms:
(-9x + x2)(x + 4) = 0

Reorder the terms:
(-9x + x2)(4 + x) = 0

Multiply (-9x + x2) * (4 + x)
(-9x * (4 + x) + x2(4 + x)) = 0
((4 * -9x + x * -9x) + x2(4 + x)) = 0
((-36x + -9x2) + x2(4 + x)) = 0
(-36x + -9x2 + (4 * x2 + x * x2)) = 0
(-36x + -9x2 + (4x2 + x3)) = 0

Combine like terms: -9x2 + 4x2 = -5x2
(-36x + -5x2 + x3) = 0

Solving
-36x + -5x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-36 + -5x + x2) = 0

Factor a trinomial.
x((-4 + -1x)(9 + -1x)) = 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 '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {0, -4, 9}

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