3(2x-1)(4x-3)=

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Solution for 3(2x-1)(4x-3)= equation: 


Simplifying
3(2x + -1)(4x + -3) = 0

Reorder the terms:
3(-1 + 2x)(4x + -3) = 0

Reorder the terms:
3(-1 + 2x)(-3 + 4x) = 0

Multiply (-1 + 2x) * (-3 + 4x)
3(-1(-3 + 4x) + 2x * (-3 + 4x)) = 0
3((-3 * -1 + 4x * -1) + 2x * (-3 + 4x)) = 0
3((3 + -4x) + 2x * (-3 + 4x)) = 0
3(3 + -4x + (-3 * 2x + 4x * 2x)) = 0
3(3 + -4x + (-6x + 8x2)) = 0

Combine like terms: -4x + -6x = -10x
3(3 + -10x + 8x2) = 0
(3 * 3 + -10x * 3 + 8x2 * 3) = 0
(9 + -30x + 24x2) = 0

Solving
9 + -30x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + -10x + 8x2) = 0

Factor a trinomial.
3((1 + -2x)(3 + -4x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {0.5, 0.75}

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