3(8-3x)(8x-1)=0

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Solution for 3(8-3x)(8x-1)=0 equation: 


Simplifying
3(8 + -3x)(8x + -1) = 0

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

Multiply (8 + -3x) * (-1 + 8x)
3(8(-1 + 8x) + -3x * (-1 + 8x)) = 0
3((-1 * 8 + 8x * 8) + -3x * (-1 + 8x)) = 0
3((-8 + 64x) + -3x * (-1 + 8x)) = 0
3(-8 + 64x + (-1 * -3x + 8x * -3x)) = 0
3(-8 + 64x + (3x + -24x2)) = 0

Combine like terms: 64x + 3x = 67x
3(-8 + 67x + -24x2) = 0
(-8 * 3 + 67x * 3 + -24x2 * 3) = 0
(-24 + 201x + -72x2) = 0

Solving
-24 + 201x + -72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 67x + -24x2) = 0

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

Ignore the factor 3.

Subproblem 1
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 2
Set the factor '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {2.666666667, 0.125}

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