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

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


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

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

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

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

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

Combine like terms: -6x + -2x = -8x
(3 + -8x + 4x2)(2 + x) = 0

Multiply (3 + -8x + 4x2) * (2 + x)
(3(2 + x) + -8x * (2 + x) + 4x2 * (2 + x)) = 0
((2 * 3 + x * 3) + -8x * (2 + x) + 4x2 * (2 + x)) = 0
((6 + 3x) + -8x * (2 + x) + 4x2 * (2 + x)) = 0
(6 + 3x + (2 * -8x + x * -8x) + 4x2 * (2 + x)) = 0
(6 + 3x + (-16x + -8x2) + 4x2 * (2 + x)) = 0
(6 + 3x + -16x + -8x2 + (2 * 4x2 + x * 4x2)) = 0
(6 + 3x + -16x + -8x2 + (8x2 + 4x3)) = 0

Combine like terms: 3x + -16x = -13x
(6 + -13x + -8x2 + 8x2 + 4x3) = 0

Combine like terms: -8x2 + 8x2 = 0
(6 + -13x + 0 + 4x3) = 0
(6 + -13x + 4x3) = 0

Solving
6 + -13x + 4x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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