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

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

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

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

Multiply (-1 + 3x) * (3 + -8x)
(-1(3 + -8x) + 3x * (3 + -8x)) = 0
((3 * -1 + -8x * -1) + 3x * (3 + -8x)) = 0
((-3 + 8x) + 3x * (3 + -8x)) = 0
(-3 + 8x + (3 * 3x + -8x * 3x)) = 0
(-3 + 8x + (9x + -24x2)) = 0

Combine like terms: 8x + 9x = 17x
(-3 + 17x + -24x2) = 0

Solving
-3 + 17x + -24x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(-3 + 8x)' equal to zero and attempt to solve:

Simplifying
-3 + 8x = 0

Solving
-3 + 8x = 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 + 8x = 0 + 3

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

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

Divide each side by '8'.
x = 0.375

Simplifying
x = 0.375
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
Solution
x = {0.375, 0.3333333333}