3x(5x-4)=0

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Solution for 3x(5x-4)=0 equation: 


Simplifying
3x(5x + -4) = 0

Reorder the terms:
3x(-4 + 5x) = 0
(-4 * 3x + 5x * 3x) = 0
(-12x + 15x2) = 0

Solving
-12x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4 + 5x) = 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 '(-4 + 5x)' equal to zero and attempt to solve:

Simplifying
-4 + 5x = 0

Solving
-4 + 5x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 0 + 4
5x = 0 + 4

Combine like terms: 0 + 4 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0, 0.8}

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