3x[x-2]=4x-3

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Solution for 3x[x-2]=4x-3 equation: 


Simplifying
3x[x + -2] = 4x + -3

Reorder the terms:
3x[-2 + x] = 4x + -3
[-2 * 3x + x * 3x] = 4x + -3
[-6x + 3x2] = 4x + -3

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

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

Solving for variable 'x'.

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

Combine like terms: -6x + -4x = -10x
3 + -10x + 3x2 = -3 + 4x + 3 + -4x

Reorder the terms:
3 + -10x + 3x2 = -3 + 3 + 4x + -4x

Combine like terms: -3 + 3 = 0
3 + -10x + 3x2 = 0 + 4x + -4x
3 + -10x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -10x + 3x2 = 0

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.3333333333, 3}

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