20x(3x-5)(x-1)=

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Solution for 20x(3x-5)(x-1)= equation: 


Simplifying
20x(3x + -5)(x + -1) = 0

Reorder the terms:
20x(-5 + 3x)(x + -1) = 0

Reorder the terms:
20x(-5 + 3x)(-1 + x) = 0

Multiply (-5 + 3x) * (-1 + x)
20x(-5(-1 + x) + 3x * (-1 + x)) = 0
20x((-1 * -5 + x * -5) + 3x * (-1 + x)) = 0
20x((5 + -5x) + 3x * (-1 + x)) = 0
20x(5 + -5x + (-1 * 3x + x * 3x)) = 0
20x(5 + -5x + (-3x + 3x2)) = 0

Combine like terms: -5x + -3x = -8x
20x(5 + -8x + 3x2) = 0
(5 * 20x + -8x * 20x + 3x2 * 20x) = 0
(100x + -160x2 + 60x3) = 0

Solving
100x + -160x2 + 60x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x'.
20x(5 + -8x + 3x2) = 0

Factor a trinomial.
20x((1 + -1x)(5 + -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 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 3
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, 1.666666667}

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