0=[(4x-1)(3x-1)]

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Solution for 0=[(4x-1)(3x-1)] equation: 


Simplifying
0 = [(4x + -1)(3x + -1)]

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

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

Multiply (-1 + 4x) * (-1 + 3x)
0 = [(-1(-1 + 3x) + 4x * (-1 + 3x))]
0 = [((-1 * -1 + 3x * -1) + 4x * (-1 + 3x))]
0 = [((1 + -3x) + 4x * (-1 + 3x))]
0 = [(1 + -3x + (-1 * 4x + 3x * 4x))]
0 = [(1 + -3x + (-4x + 12x2))]

Combine like terms: -3x + -4x = -7x
0 = [(1 + -7x + 12x2)]
0 = [1 + -7x + 12x2]

Remove brackets around [1 + -7x + 12x2]
0 = 1 + -7x + 12x2

Solving
0 = 1 + -7x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + -1 = -1
-1 + 7x + -12x2 = 1 + -7x + 12x2 + -1 + 7x + -12x2

Reorder the terms:
-1 + 7x + -12x2 = 1 + -1 + -7x + 7x + 12x2 + -12x2

Combine like terms: 1 + -1 = 0
-1 + 7x + -12x2 = 0 + -7x + 7x + 12x2 + -12x2
-1 + 7x + -12x2 = -7x + 7x + 12x2 + -12x2

Combine like terms: -7x + 7x = 0
-1 + 7x + -12x2 = 0 + 12x2 + -12x2
-1 + 7x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-1 + 7x + -12x2 = 0

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


Subproblem 1
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

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {0.3333333333, 0.25}

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