(3x+2)(4x-1)-(6x+2)(2x-1)=0

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Solution for (3x+2)(4x-1)-(6x+2)(2x-1)=0 equation: 


Simplifying
(3x + 2)(4x + -1) + -1(6x + 2)(2x + -1) = 0

Reorder the terms:
(2 + 3x)(4x + -1) + -1(6x + 2)(2x + -1) = 0

Reorder the terms:
(2 + 3x)(-1 + 4x) + -1(6x + 2)(2x + -1) = 0

Multiply (2 + 3x) * (-1 + 4x)
(2(-1 + 4x) + 3x * (-1 + 4x)) + -1(6x + 2)(2x + -1) = 0
((-1 * 2 + 4x * 2) + 3x * (-1 + 4x)) + -1(6x + 2)(2x + -1) = 0
((-2 + 8x) + 3x * (-1 + 4x)) + -1(6x + 2)(2x + -1) = 0
(-2 + 8x + (-1 * 3x + 4x * 3x)) + -1(6x + 2)(2x + -1) = 0
(-2 + 8x + (-3x + 12x2)) + -1(6x + 2)(2x + -1) = 0

Combine like terms: 8x + -3x = 5x
(-2 + 5x + 12x2) + -1(6x + 2)(2x + -1) = 0

Reorder the terms:
-2 + 5x + 12x2 + -1(2 + 6x)(2x + -1) = 0

Reorder the terms:
-2 + 5x + 12x2 + -1(2 + 6x)(-1 + 2x) = 0

Multiply (2 + 6x) * (-1 + 2x)
-2 + 5x + 12x2 + -1(2(-1 + 2x) + 6x * (-1 + 2x)) = 0
-2 + 5x + 12x2 + -1((-1 * 2 + 2x * 2) + 6x * (-1 + 2x)) = 0
-2 + 5x + 12x2 + -1((-2 + 4x) + 6x * (-1 + 2x)) = 0
-2 + 5x + 12x2 + -1(-2 + 4x + (-1 * 6x + 2x * 6x)) = 0
-2 + 5x + 12x2 + -1(-2 + 4x + (-6x + 12x2)) = 0

Combine like terms: 4x + -6x = -2x
-2 + 5x + 12x2 + -1(-2 + -2x + 12x2) = 0
-2 + 5x + 12x2 + (-2 * -1 + -2x * -1 + 12x2 * -1) = 0
-2 + 5x + 12x2 + (2 + 2x + -12x2) = 0

Reorder the terms:
-2 + 2 + 5x + 2x + 12x2 + -12x2 = 0

Combine like terms: -2 + 2 = 0
0 + 5x + 2x + 12x2 + -12x2 = 0
5x + 2x + 12x2 + -12x2 = 0

Combine like terms: 5x + 2x = 7x
7x + 12x2 + -12x2 = 0

Combine like terms: 12x2 + -12x2 = 0
7x + 0 = 0
7x = 0

Solving
7x = 0

Solving for variable 'x'.

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

Divide each side by '7'.
x = 0

Simplifying
x = 0

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