9x(3x-15)(5+22x)=0

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Solution for 9x(3x-15)(5+22x)=0 equation: 


Simplifying
9x(3x + -15)(5 + 22x) = 0

Reorder the terms:
9x(-15 + 3x)(5 + 22x) = 0

Multiply (-15 + 3x) * (5 + 22x)
9x(-15(5 + 22x) + 3x * (5 + 22x)) = 0
9x((5 * -15 + 22x * -15) + 3x * (5 + 22x)) = 0
9x((-75 + -330x) + 3x * (5 + 22x)) = 0
9x(-75 + -330x + (5 * 3x + 22x * 3x)) = 0
9x(-75 + -330x + (15x + 66x2)) = 0

Combine like terms: -330x + 15x = -315x
9x(-75 + -315x + 66x2) = 0
(-75 * 9x + -315x * 9x + 66x2 * 9x) = 0
(-675x + -2835x2 + 594x3) = 0

Solving
-675x + -2835x2 + 594x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '27x'.
27x(-25 + -105x + 22x2) = 0

Factor a trinomial.
27x((-5 + -22x)(5 + -1x)) = 0

Ignore the factor 27.

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 + -22x)' equal to zero and attempt to solve:

Simplifying
-5 + -22x = 0

Solving
-5 + -22x = 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 + -22x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -22x = 0 + 5
-22x = 0 + 5

Combine like terms: 0 + 5 = 5
-22x = 5

Divide each side by '-22'.
x = -0.2272727273

Simplifying
x = -0.2272727273

Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0, -0.2272727273, 5}

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