3x(2x-1)+2(2x-1)(2x-1)(3x+2)=

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


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

Reorder the terms:
3x(-1 + 2x) + 2(2x + -1)(2x + -1)(3x + 2) = 0
(-1 * 3x + 2x * 3x) + 2(2x + -1)(2x + -1)(3x + 2) = 0
(-3x + 6x2) + 2(2x + -1)(2x + -1)(3x + 2) = 0

Reorder the terms:
-3x + 6x2 + 2(-1 + 2x)(2x + -1)(3x + 2) = 0

Reorder the terms:
-3x + 6x2 + 2(-1 + 2x)(-1 + 2x)(3x + 2) = 0

Reorder the terms:
-3x + 6x2 + 2(-1 + 2x)(-1 + 2x)(2 + 3x) = 0

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

Combine like terms: -2x + -2x = -4x
-3x + 6x2 + 2(1 + -4x + 4x2)(2 + 3x) = 0

Multiply (1 + -4x + 4x2) * (2 + 3x)
-3x + 6x2 + 2(1(2 + 3x) + -4x * (2 + 3x) + 4x2 * (2 + 3x)) = 0
-3x + 6x2 + 2((2 * 1 + 3x * 1) + -4x * (2 + 3x) + 4x2 * (2 + 3x)) = 0
-3x + 6x2 + 2((2 + 3x) + -4x * (2 + 3x) + 4x2 * (2 + 3x)) = 0
-3x + 6x2 + 2(2 + 3x + (2 * -4x + 3x * -4x) + 4x2 * (2 + 3x)) = 0
-3x + 6x2 + 2(2 + 3x + (-8x + -12x2) + 4x2 * (2 + 3x)) = 0
-3x + 6x2 + 2(2 + 3x + -8x + -12x2 + (2 * 4x2 + 3x * 4x2)) = 0
-3x + 6x2 + 2(2 + 3x + -8x + -12x2 + (8x2 + 12x3)) = 0

Combine like terms: 3x + -8x = -5x
-3x + 6x2 + 2(2 + -5x + -12x2 + 8x2 + 12x3) = 0

Combine like terms: -12x2 + 8x2 = -4x2
-3x + 6x2 + 2(2 + -5x + -4x2 + 12x3) = 0
-3x + 6x2 + (2 * 2 + -5x * 2 + -4x2 * 2 + 12x3 * 2) = 0
-3x + 6x2 + (4 + -10x + -8x2 + 24x3) = 0

Reorder the terms:
4 + -3x + -10x + 6x2 + -8x2 + 24x3 = 0

Combine like terms: -3x + -10x = -13x
4 + -13x + 6x2 + -8x2 + 24x3 = 0

Combine like terms: 6x2 + -8x2 = -2x2
4 + -13x + -2x2 + 24x3 = 0

Solving
4 + -13x + -2x2 + 24x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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