15x^3(3x-8)(-2x+1)=

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Solution for 15x^3(3x-8)(-2x+1)= equation: 


Simplifying
15x3(3x + -8)(-2x + 1) = 0

Reorder the terms:
15x3(-8 + 3x)(-2x + 1) = 0

Reorder the terms:
15x3(-8 + 3x)(1 + -2x) = 0

Multiply (-8 + 3x) * (1 + -2x)
15x3(-8(1 + -2x) + 3x * (1 + -2x)) = 0
15x3((1 * -8 + -2x * -8) + 3x * (1 + -2x)) = 0
15x3((-8 + 16x) + 3x * (1 + -2x)) = 0
15x3(-8 + 16x + (1 * 3x + -2x * 3x)) = 0
15x3(-8 + 16x + (3x + -6x2)) = 0

Combine like terms: 16x + 3x = 19x
15x3(-8 + 19x + -6x2) = 0
(-8 * 15x3 + 19x * 15x3 + -6x2 * 15x3) = 0
(-120x3 + 285x4 + -90x5) = 0

Solving
-120x3 + 285x4 + -90x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15x3'.
15x3(-8 + 19x + -6x2) = 0

Factor a trinomial.
15x3((-8 + 3x)(1 + -2x)) = 0

Ignore the factor 15.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-8 + 3x)' equal to zero and attempt to solve:

Simplifying
-8 + 3x = 0

Solving
-8 + 3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 0 + 8
3x = 0 + 8

Combine like terms: 0 + 8 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

Subproblem 3
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {2.666666667, 0.5}

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