x(3x-5)(x+9)=

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Solution for x(3x-5)(x+9)= equation: 


Simplifying
x(3x + -5)(x + 9) = 0

Reorder the terms:
x(-5 + 3x)(x + 9) = 0

Reorder the terms:
x(-5 + 3x)(9 + x) = 0

Multiply (-5 + 3x) * (9 + x)
x(-5(9 + x) + 3x * (9 + x)) = 0
x((9 * -5 + x * -5) + 3x * (9 + x)) = 0
x((-45 + -5x) + 3x * (9 + x)) = 0
x(-45 + -5x + (9 * 3x + x * 3x)) = 0
x(-45 + -5x + (27x + 3x2)) = 0

Combine like terms: -5x + 27x = 22x
x(-45 + 22x + 3x2) = 0
(-45 * x + 22x * x + 3x2 * x) = 0
(-45x + 22x2 + 3x3) = 0

Solving
-45x + 22x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-45 + 22x + 3x2) = 0

Factor a trinomial.
x((-9 + -1x)(5 + -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 '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {0, -9, 1.666666667}

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