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

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


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

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

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

Reorder the terms for easier multiplication:
2x(-5 + 3x) = 0
(-5 * 2x + 3x * 2x) = 0
(-10x + 6x2) = 0

Solving
-10x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-5 + 3x) = 0

Ignore the factor 2.

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 + 3x)' equal to zero and attempt to solve:

Simplifying
-5 + 3x = 0

Solving
-5 + 3x = 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 + 3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 0 + 5
3x = 0 + 5

Combine like terms: 0 + 5 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {0, 1.666666667}

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