(5x)(12x-4)=0

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Solution for (5x)(12x-4)=0 equation:


Simplifying
(5x)(12x + -4) = 0

Remove parenthesis around (5x)
5x(12x + -4) = 0

Reorder the terms:
5x(-4 + 12x) = 0
(-4 * 5x + 12x * 5x) = 0
(-20x + 60x2) = 0

Solving
-20x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x'.
20x(-1 + 3x) = 0

Ignore the factor 20.

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 '(-1 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 3x = 0 Solving -1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {0, 0.3333333333}

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