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

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


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

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

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

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

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

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

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

Combine like terms: -18x + 1x = -17x
(-6 + -17x + 3x2 + 1x2 + 3x3) = 0

Combine like terms: 3x2 + 1x2 = 4x2
(-6 + -17x + 4x2 + 3x3) = 0

Solving
-6 + -17x + 4x2 + 3x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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