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

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


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

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

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

Combine like terms: x + -3x = -2x
(-4 + 3x)(2 + -2x) = 0

Multiply (-4 + 3x) * (2 + -2x)
(-4(2 + -2x) + 3x * (2 + -2x)) = 0
((2 * -4 + -2x * -4) + 3x * (2 + -2x)) = 0
((-8 + 8x) + 3x * (2 + -2x)) = 0
(-8 + 8x + (2 * 3x + -2x * 3x)) = 0
(-8 + 8x + (6x + -6x2)) = 0

Combine like terms: 8x + 6x = 14x
(-8 + 14x + -6x2) = 0

Solving
-8 + 14x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 7x + -3x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
x = {1.333333333, 1}

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