x(3x-4)(x+9)=

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Solution for x(3x-4)(x+9)= equation: 


Simplifying
x(3x + -4)(x + 9) = 0

Reorder the terms:
x(-4 + 3x)(x + 9) = 0

Reorder the terms:
x(-4 + 3x)(9 + x) = 0

Multiply (-4 + 3x) * (9 + x)
x(-4(9 + x) + 3x * (9 + x)) = 0
x((9 * -4 + x * -4) + 3x * (9 + x)) = 0
x((-36 + -4x) + 3x * (9 + x)) = 0
x(-36 + -4x + (9 * 3x + x * 3x)) = 0
x(-36 + -4x + (27x + 3x2)) = 0

Combine like terms: -4x + 27x = 23x
x(-36 + 23x + 3x2) = 0
(-36 * x + 23x * x + 3x2 * x) = 0
(-36x + 23x2 + 3x3) = 0

Solving
-36x + 23x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-36 + 23x + 3x2) = 0

Factor a trinomial.
x((-9 + -1x)(4 + -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 '(-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

Subproblem 3
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {0, -9, 1.333333333}

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