(2x-1)(3x+6)(x+1)=0

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Solution for (2x-1)(3x+6)(x+1)=0 equation:


Simplifying
(2x + -1)(3x + 6)(x + 1) = 0

Reorder the terms:
(-1 + 2x)(3x + 6)(x + 1) = 0

Reorder the terms:
(-1 + 2x)(6 + 3x)(x + 1) = 0

Reorder the terms:
(-1 + 2x)(6 + 3x)(1 + x) = 0

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

Combine like terms: -3x + 12x = 9x
(-6 + 9x + 6x2)(1 + x) = 0

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

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

Combine like terms: 9x2 + 6x2 = 15x2
(-6 + 3x + 15x2 + 6x3) = 0

Solving
-6 + 3x + 15x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + x + 5x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + x + 5x2 + 2x3)' equal to zero and attempt to solve: Simplifying -2 + x + 5x2 + 2x3 = 0 Solving -2 + x + 5x2 + 2x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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