(9x-2)(4x)=0

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Solution for (9x-2)(4x)=0 equation: 


Simplifying
(9x + -2)(4x) = 0

Reorder the terms:
(-2 + 9x)(4x) = 0

Remove parenthesis around (4x)
(-2 + 9x) * 4x = 0

Reorder the terms for easier multiplication:
4x(-2 + 9x) = 0
(-2 * 4x + 9x * 4x) = 0
(-8x + 36x2) = 0

Solving
-8x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-2 + 9x) = 0

Ignore the factor 4.

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 '(-2 + 9x)' equal to zero and attempt to solve:

Simplifying
-2 + 9x = 0

Solving
-2 + 9x = 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 + 9x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 9x = 0 + 2
9x = 0 + 2

Combine like terms: 0 + 2 = 2
9x = 2

Divide each side by '9'.
x = 0.2222222222

Simplifying
x = 0.2222222222
Solution
x = {0, 0.2222222222}

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