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

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


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

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

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

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

Combine like terms: -6x + -1x = -7x
(2 + -7x + 3x2) = 0

Solving
2 + -7x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.3333333333, 2}

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