(5x-3)x(3x-1)=

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Solution for (5x-3)x(3x-1)= equation: 


Simplifying
(5x + -3) * x(3x + -1) = 0

Reorder the terms:
(-3 + 5x) * x(3x + -1) = 0

Reorder the terms:
(-3 + 5x) * x(-1 + 3x) = 0

Reorder the terms for easier multiplication:
x(-3 + 5x)(-1 + 3x) = 0

Multiply (-3 + 5x) * (-1 + 3x)
x(-3(-1 + 3x) + 5x * (-1 + 3x)) = 0
x((-1 * -3 + 3x * -3) + 5x * (-1 + 3x)) = 0
x((3 + -9x) + 5x * (-1 + 3x)) = 0
x(3 + -9x + (-1 * 5x + 3x * 5x)) = 0
x(3 + -9x + (-5x + 15x2)) = 0

Combine like terms: -9x + -5x = -14x
x(3 + -14x + 15x2) = 0
(3 * x + -14x * x + 15x2 * x) = 0
(3x + -14x2 + 15x3) = 0

Solving
3x + -14x2 + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + -14x + 15x2) = 0

Factor a trinomial.
x((1 + -3x)(3 + -5x)) = 0


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

Subproblem 3
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {0, 0.3333333333, 0.6}

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