(2x-19)(-18x)=0

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Solution for (2x-19)(-18x)=0 equation: 


Simplifying
(2x + -19)(-18x) = 0

Reorder the terms:
(-19 + 2x)(-18x) = 0

Remove parenthesis around (-18x)
(-19 + 2x) * -18x = 0

Reorder the terms for easier multiplication:
-18x(-19 + 2x) = 0
(-19 * -18x + 2x * -18x) = 0
(342x + -36x2) = 0

Solving
342x + -36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18x'.
18x(19 + -2x) = 0

Ignore the factor 18.

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 + -2x)' equal to zero and attempt to solve:

Simplifying
19 + -2x = 0

Solving
19 + -2x = 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 + -2x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = 0 + -19
-2x = 0 + -19

Combine like terms: 0 + -19 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5
Solution
x = {0, 9.5}

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