(3x-2)x(5x-4)=

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Solution for (3x-2)x(5x-4)= equation: 


Simplifying
(3x + -2) * x(5x + -4) = 0

Reorder the terms:
(-2 + 3x) * x(5x + -4) = 0

Reorder the terms:
(-2 + 3x) * x(-4 + 5x) = 0

Reorder the terms for easier multiplication:
x(-2 + 3x)(-4 + 5x) = 0

Multiply (-2 + 3x) * (-4 + 5x)
x(-2(-4 + 5x) + 3x * (-4 + 5x)) = 0
x((-4 * -2 + 5x * -2) + 3x * (-4 + 5x)) = 0
x((8 + -10x) + 3x * (-4 + 5x)) = 0
x(8 + -10x + (-4 * 3x + 5x * 3x)) = 0
x(8 + -10x + (-12x + 15x2)) = 0

Combine like terms: -10x + -12x = -22x
x(8 + -22x + 15x2) = 0
(8 * x + -22x * x + 15x2 * x) = 0
(8x + -22x2 + 15x3) = 0

Solving
8x + -22x2 + 15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + -22x + 15x2) = 0

Factor a trinomial.
x((2 + -3x)(4 + -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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 3
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, 0.6666666667, 0.8}

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