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

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


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

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

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

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

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

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

Multiply (-6 + -1x + x2) * (-2 + 3x)
(-6(-2 + 3x) + -1x * (-2 + 3x) + x2(-2 + 3x)) = 0
((-2 * -6 + 3x * -6) + -1x * (-2 + 3x) + x2(-2 + 3x)) = 0
((12 + -18x) + -1x * (-2 + 3x) + x2(-2 + 3x)) = 0
(12 + -18x + (-2 * -1x + 3x * -1x) + x2(-2 + 3x)) = 0
(12 + -18x + (2x + -3x2) + x2(-2 + 3x)) = 0
(12 + -18x + 2x + -3x2 + (-2 * x2 + 3x * x2)) = 0
(12 + -18x + 2x + -3x2 + (-2x2 + 3x3)) = 0

Combine like terms: -18x + 2x = -16x
(12 + -16x + -3x2 + -2x2 + 3x3) = 0

Combine like terms: -3x2 + -2x2 = -5x2
(12 + -16x + -5x2 + 3x3) = 0

Solving
12 + -16x + -5x2 + 3x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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