(-2-3x)(-x)(-5x-45)=0

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Solution for (-2-3x)(-x)(-5x-45)=0 equation: 


Simplifying
(-2 + -3x)(-1x)(-5x + -45) = 0

Remove parenthesis around (-1x)
(-2 + -3x) * -1x(-5x + -45) = 0

Reorder the terms:
(-2 + -3x) * -1x(-45 + -5x) = 0

Reorder the terms for easier multiplication:
-1x(-2 + -3x)(-45 + -5x) = 0

Multiply (-2 + -3x) * (-45 + -5x)
-1x(-2(-45 + -5x) + -3x * (-45 + -5x)) = 0
-1x((-45 * -2 + -5x * -2) + -3x * (-45 + -5x)) = 0
-1x((90 + 10x) + -3x * (-45 + -5x)) = 0
-1x(90 + 10x + (-45 * -3x + -5x * -3x)) = 0
-1x(90 + 10x + (135x + 15x2)) = 0

Combine like terms: 10x + 135x = 145x
-1x(90 + 145x + 15x2) = 0
(90 * -1x + 145x * -1x + 15x2 * -1x) = 0
(-90x + -145x2 + -15x3) = 0

Solving
-90x + -145x2 + -15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-5x'.
-5x(18 + 29x + 3x2) = 0

Factor a trinomial.
-5x((9 + x)(2 + 3x)) = 0

Ignore the factor -5.

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

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

Simplifying
x = -9

Subproblem 3
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {0, -9, -0.6666666667}

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