(3x-1)(2X^2+4x+3)=

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Solution for (3x-1)(2X^2+4x+3)= equation: 


Simplifying
(3x + -1)(2X2 + 4x + 3) = 0

Reorder the terms:
(-1 + 3x)(2X2 + 4x + 3) = 0

Reorder the terms:
(-1 + 3x)(3 + 2X2 + 4x) = 0

Multiply (-1 + 3x) * (3 + 2X2 + 4x)
(-1(3 + 2X2 + 4x) + 3x * (3 + 2X2 + 4x)) = 0
((3 * -1 + 2X2 * -1 + 4x * -1) + 3x * (3 + 2X2 + 4x)) = 0
((-3 + -2X2 + -4x) + 3x * (3 + 2X2 + 4x)) = 0
(-3 + -2X2 + -4x + (3 * 3x + 2X2 * 3x + 4x * 3x)) = 0
(-3 + -2X2 + -4x + (9x + 6xX2 + 12x2)) = 0

Combine like terms: -4x + 9x = 5x
(-3 + -2X2 + 5x + 6xX2 + 12x2) = 0

Solving
-3 + -2X2 + 5x + 6xX2 + 12x2 = 0

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + -2X2 + 5x + 6xX2 + 3 + 12x2 = 0 + 3

Reorder the terms:
-3 + 3 + -2X2 + 5x + 6xX2 + 12x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2X2 + 5x + 6xX2 + 12x2 = 0 + 3
-2X2 + 5x + 6xX2 + 12x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-2X2 + 5x + 6xX2 + 12x2 = 3

Add '-5x' to each side of the equation.
-2X2 + 5x + 6xX2 + -5x + 12x2 = 3 + -5x

Reorder the terms:
-2X2 + 5x + -5x + 6xX2 + 12x2 = 3 + -5x

Combine like terms: 5x + -5x = 0
-2X2 + 0 + 6xX2 + 12x2 = 3 + -5x
-2X2 + 6xX2 + 12x2 = 3 + -5x

Add '-12x2' to each side of the equation.
-2X2 + 6xX2 + 12x2 + -12x2 = 3 + -5x + -12x2

Combine like terms: 12x2 + -12x2 = 0
-2X2 + 6xX2 + 0 = 3 + -5x + -12x2
-2X2 + 6xX2 = 3 + -5x + -12x2

Reorder the terms:
-3 + -2X2 + 5x + 6xX2 + 12x2 = 3 + -5x + -12x2 + -3 + 5x + 12x2

Reorder the terms:
-3 + -2X2 + 5x + 6xX2 + 12x2 = 3 + -3 + -5x + 5x + -12x2 + 12x2

Combine like terms: 3 + -3 = 0
-3 + -2X2 + 5x + 6xX2 + 12x2 = 0 + -5x + 5x + -12x2 + 12x2
-3 + -2X2 + 5x + 6xX2 + 12x2 = -5x + 5x + -12x2 + 12x2

Combine like terms: -5x + 5x = 0
-3 + -2X2 + 5x + 6xX2 + 12x2 = 0 + -12x2 + 12x2
-3 + -2X2 + 5x + 6xX2 + 12x2 = -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
-3 + -2X2 + 5x + 6xX2 + 12x2 = 0

The solution to this equation could not be determined.

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