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

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


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

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

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

Multiply (-4 + 3X) * (2 + X)
(-4(2 + X) + 3X * (2 + X)) = 0
((2 * -4 + X * -4) + 3X * (2 + X)) = 0
((-8 + -4X) + 3X * (2 + X)) = 0
(-8 + -4X + (2 * 3X + X * 3X)) = 0
(-8 + -4X + (6X + 3X2)) = 0

Combine like terms: -4X + 6X = 2X
(-8 + 2X + 3X2) = 0

Solving
-8 + 2X + 3X2 = 0

Solving for variable 'X'.

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


Subproblem 1
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

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 = {-2, 1.333333333}

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