3x(x+18)(x+19)=0

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Solution for 3x(x+18)(x+19)=0 equation: 


Simplifying
3x(x + 18)(x + 19) = 0

Reorder the terms:
3x(18 + x)(x + 19) = 0

Reorder the terms:
3x(18 + x)(19 + x) = 0

Multiply (18 + x) * (19 + x)
3x(18(19 + x) + x(19 + x)) = 0
3x((19 * 18 + x * 18) + x(19 + x)) = 0
3x((342 + 18x) + x(19 + x)) = 0
3x(342 + 18x + (19 * x + x * x)) = 0
3x(342 + 18x + (19x + x2)) = 0

Combine like terms: 18x + 19x = 37x
3x(342 + 37x + x2) = 0
(342 * 3x + 37x * 3x + x2 * 3x) = 0
(1026x + 111x2 + 3x3) = 0

Solving
1026x + 111x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(342 + 37x + x2) = 0

Factor a trinomial.
3x((19 + x)(18 + x)) = 0

Ignore the factor 3.

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

Simplifying
19 + x = 0

Solving
19 + x = 0

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

Add '-19' to each side of the equation.
19 + -19 + x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + x = 0 + -19
x = 0 + -19

Combine like terms: 0 + -19 = -19
x = -19

Simplifying
x = -19

Subproblem 3
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18
Solution
x = {0, -19, -18}

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