3(7x-1)(4x-2)=

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Solution for 3(7x-1)(4x-2)= equation: 


Simplifying
3(7x + -1)(4x + -2) = 0

Reorder the terms:
3(-1 + 7x)(4x + -2) = 0

Reorder the terms:
3(-1 + 7x)(-2 + 4x) = 0

Multiply (-1 + 7x) * (-2 + 4x)
3(-1(-2 + 4x) + 7x * (-2 + 4x)) = 0
3((-2 * -1 + 4x * -1) + 7x * (-2 + 4x)) = 0
3((2 + -4x) + 7x * (-2 + 4x)) = 0
3(2 + -4x + (-2 * 7x + 4x * 7x)) = 0
3(2 + -4x + (-14x + 28x2)) = 0

Combine like terms: -4x + -14x = -18x
3(2 + -18x + 28x2) = 0
(2 * 3 + -18x * 3 + 28x2 * 3) = 0
(6 + -54x + 84x2) = 0

Solving
6 + -54x + 84x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + -9x + 14x2) = 0

Factor a trinomial.
6((1 + -7x)(1 + -2x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(1 + -7x)' equal to zero and attempt to solve:

Simplifying
1 + -7x = 0

Solving
1 + -7x = 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 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429

Subproblem 2
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 = {0.1428571429, 0.5}

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