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

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

Simplifying
(4x + -1)(3x + -1) = 0
Reorder the terms:
(-1 + 4x)(3x + -1) = 0
Reorder the terms:
(-1 + 4x)(-1 + 3x) = 0
Multiply (-1 + 4x) * (-1 + 3x)
(-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)) = 0
Combine like terms: -3x + -4x = -7x
(1 + -7x + 12x2) = 0
Solving
1 + -7x + 12x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(1 + -4x)(1 + -3x) = 0
Subproblem 1Set 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
Subproblem 2Set 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 = 0.3333333333Solutionx = {0.25, 0.3333333333}`

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