3x(x-2)=x-4

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


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

Reorder the terms:
3x(-2 + x) = x + -4
(-2 * 3x + x * 3x) = x + -4
(-6x + 3x2) = x + -4

Reorder the terms:
-6x + 3x2 = -4 + x

Solving
-6x + 3x2 = -4 + x

Solving for variable 'x'.

Reorder the terms:
4 + -6x + -1x + 3x2 = -4 + x + 4 + -1x

Combine like terms: -6x + -1x = -7x
4 + -7x + 3x2 = -4 + x + 4 + -1x

Reorder the terms:
4 + -7x + 3x2 = -4 + 4 + x + -1x

Combine like terms: -4 + 4 = 0
4 + -7x + 3x2 = 0 + x + -1x
4 + -7x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
4 + -7x + 3x2 = 0

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


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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {1, 1.333333333}

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