(3x+2)(x-4)-(3x+2)(x+8)=0

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Solution for (3x+2)(x-4)-(3x+2)(x+8)=0 equation: 


Simplifying
(3x + 2)(x + -4) + -1(3x + 2)(x + 8) = 0

Reorder the terms:
(2 + 3x)(x + -4) + -1(3x + 2)(x + 8) = 0

Reorder the terms:
(2 + 3x)(-4 + x) + -1(3x + 2)(x + 8) = 0

Multiply (2 + 3x) * (-4 + x)
(2(-4 + x) + 3x * (-4 + x)) + -1(3x + 2)(x + 8) = 0
((-4 * 2 + x * 2) + 3x * (-4 + x)) + -1(3x + 2)(x + 8) = 0
((-8 + 2x) + 3x * (-4 + x)) + -1(3x + 2)(x + 8) = 0
(-8 + 2x + (-4 * 3x + x * 3x)) + -1(3x + 2)(x + 8) = 0
(-8 + 2x + (-12x + 3x2)) + -1(3x + 2)(x + 8) = 0

Combine like terms: 2x + -12x = -10x
(-8 + -10x + 3x2) + -1(3x + 2)(x + 8) = 0

Reorder the terms:
-8 + -10x + 3x2 + -1(2 + 3x)(x + 8) = 0

Reorder the terms:
-8 + -10x + 3x2 + -1(2 + 3x)(8 + x) = 0

Multiply (2 + 3x) * (8 + x)
-8 + -10x + 3x2 + -1(2(8 + x) + 3x * (8 + x)) = 0
-8 + -10x + 3x2 + -1((8 * 2 + x * 2) + 3x * (8 + x)) = 0
-8 + -10x + 3x2 + -1((16 + 2x) + 3x * (8 + x)) = 0
-8 + -10x + 3x2 + -1(16 + 2x + (8 * 3x + x * 3x)) = 0
-8 + -10x + 3x2 + -1(16 + 2x + (24x + 3x2)) = 0

Combine like terms: 2x + 24x = 26x
-8 + -10x + 3x2 + -1(16 + 26x + 3x2) = 0
-8 + -10x + 3x2 + (16 * -1 + 26x * -1 + 3x2 * -1) = 0
-8 + -10x + 3x2 + (-16 + -26x + -3x2) = 0

Reorder the terms:
-8 + -16 + -10x + -26x + 3x2 + -3x2 = 0

Combine like terms: -8 + -16 = -24
-24 + -10x + -26x + 3x2 + -3x2 = 0

Combine like terms: -10x + -26x = -36x
-24 + -36x + 3x2 + -3x2 = 0

Combine like terms: 3x2 + -3x2 = 0
-24 + -36x + 0 = 0
-24 + -36x = 0

Solving
-24 + -36x = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + -36x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -36x = 0 + 24
-36x = 0 + 24

Combine like terms: 0 + 24 = 24
-36x = 24

Divide each side by '-36'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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