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

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Solution for (4x-1)(3x-2)=0 equation: 


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

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

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

Multiply (-1 + 4x) * (-2 + 3x)
(-1(-2 + 3x) + 4x * (-2 + 3x)) = 0
((-2 * -1 + 3x * -1) + 4x * (-2 + 3x)) = 0
((2 + -3x) + 4x * (-2 + 3x)) = 0
(2 + -3x + (-2 * 4x + 3x * 4x)) = 0
(2 + -3x + (-8x + 12x2)) = 0

Combine like terms: -3x + -8x = -11x
(2 + -11x + 12x2) = 0

Solving
2 + -11x + 12x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0.25, 0.6666666667}

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