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

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


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

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

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

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

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

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

Multiply (1 + 3x + 2x2) * (-2 + 3x)
(1(-2 + 3x) + 3x * (-2 + 3x) + 2x2 * (-2 + 3x)) = 0
((-2 * 1 + 3x * 1) + 3x * (-2 + 3x) + 2x2 * (-2 + 3x)) = 0
((-2 + 3x) + 3x * (-2 + 3x) + 2x2 * (-2 + 3x)) = 0
(-2 + 3x + (-2 * 3x + 3x * 3x) + 2x2 * (-2 + 3x)) = 0
(-2 + 3x + (-6x + 9x2) + 2x2 * (-2 + 3x)) = 0
(-2 + 3x + -6x + 9x2 + (-2 * 2x2 + 3x * 2x2)) = 0
(-2 + 3x + -6x + 9x2 + (-4x2 + 6x3)) = 0

Combine like terms: 3x + -6x = -3x
(-2 + -3x + 9x2 + -4x2 + 6x3) = 0

Combine like terms: 9x2 + -4x2 = 5x2
(-2 + -3x + 5x2 + 6x3) = 0

Solving
-2 + -3x + 5x2 + 6x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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