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

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


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

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

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

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

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

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

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

Combine like terms: -12x + -1x = -13x
(6 + -13x + 2x2 + -1x2 + 2x3) = 0

Combine like terms: 2x2 + -1x2 = 1x2
(6 + -13x + 1x2 + 2x3) = 0

Solving
6 + -13x + 1x2 + 2x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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